The axis of symmetry is at the average of the zeroes, (\frac{(q-11)+(q+7)}{2}=q-2). Tip: take the midpoint even with symbols.
Step 2
Why this answer is correct
The correct answer is A. (x=q-2). The axis of symmetry is at the average of the zeroes, (\frac{(q-11)+(q+7)}{2}=q-2). Tip: take the midpoint even with symbols.
Step 3
Exam Tip
सममिति अक्ष शून्यकों के औसत पर है, (\frac{(q-11)+(q+7)}{2}=q-2)। टिप: प्रतीकों में भी मध्य मान लें।
The axis of symmetry is at the average of the zeroes, (\frac{(t-9)+(t+5)}{2}=t-2). Tip: take the midpoint even with symbols.
Step 2
Why this answer is correct
The correct answer is A. (x=t-2). The axis of symmetry is at the average of the zeroes, (\frac{(t-9)+(t+5)}{2}=t-2). Tip: take the midpoint even with symbols.
Step 3
Exam Tip
सममिति अक्ष शून्यकों के औसत पर है, (\frac{(t-9)+(t+5)}{2}=t-2)। टिप: प्रतीकों में भी मध्य मान लें।
The axis of symmetry is at the average of the zeroes, (\frac{(c-7)+(c+3)}{2}=c-2). Tip: the average rule also works with symbols.
Step 2
Why this answer is correct
The correct answer is A. (x=c-2). The axis of symmetry is at the average of the zeroes, (\frac{(c-7)+(c+3)}{2}=c-2). Tip: the average rule also works with symbols.
Step 3
Exam Tip
सममिति अक्ष शून्यकों के औसत पर है (\frac{(c-7)+(c+3)}{2}=c-2)। टिप: प्रतीकों में भी औसत का नियम लागू होता है।
The axis of symmetry is at the average of the zeroes, (\frac{(b-5)+(b+1)}{2}=b-2). Tip: the average rule also works with symbols.
Step 2
Why this answer is correct
The correct answer is A. (x=b-2). The axis of symmetry is at the average of the zeroes, (\frac{(b-5)+(b+1)}{2}=b-2). Tip: the average rule also works with symbols.
Step 3
Exam Tip
सममिति अक्ष शून्यकों के औसत पर है, (\frac{(b-5)+(b+1)}{2}=b-2)। टिप: प्रतीकों में भी औसत का नियम लागू होता है।
The axis of symmetry is at the average of zeroes, (\frac{(a-2)+(a+4)}{2}=a+1). Tip: take the average even for symbolic zeroes.
Step 2
Why this answer is correct
The correct answer is A. (x=a+1). The axis of symmetry is at the average of zeroes, (\frac{(a-2)+(a+4)}{2}=a+1). Tip: take the average even for symbolic zeroes.
Step 3
Exam Tip
सममिति अक्ष शून्यकों के औसत पर है, (\frac{(a-2)+(a+4)}{2}=a+1)। टिप: प्रतीकात्मक शून्यकों में भी औसत लें।
The axis of symmetry passes through the average \(x=\frac{1+7}{2}=4\). Tip: the middle of two zeroes is useful in a parabola.
Step 2
Why this answer is correct
The correct answer is B. (x=4). The axis of symmetry passes through the average \(x=\frac{1+7}{2}=4\). Tip: the middle of two zeroes is useful in a parabola.
Step 3
Exam Tip
सममिति अक्ष शून्यकों के औसत \(x=\frac{1+7}{2}=4\) से गुजरता है। टिप: परवलय में दो शून्यकों का मध्य उपयोगी है।
The axis of symmetry passes through the midpoint of zeroes, \(\frac{-2+6}{2}=2\). Tip: the average of two zeroes is useful for a parabola.
Step 2
Why this answer is correct
The correct answer is B. (x=2). The axis of symmetry passes through the midpoint of zeroes, \(\frac{-2+6}{2}=2\). Tip: the average of two zeroes is useful for a parabola.
Step 3
Exam Tip
सममिति अक्ष शून्यकों के मध्य से गुजरता है, \(\frac{-2+6}{2}=2\)। टिप: परवलय में दो शून्यकों का औसत उपयोगी होता है।
A. (22) को (10) करना होगा/(22) must be changed to (10)
Step 1
Concept
For equal distance from the (y)-axis, zeroes should be opposites, so (10) is needed with (-10). Tip: symmetric zeroes are (a) and (-a).
Step 2
Why this answer is correct
The correct answer is A. (22) को (10) करना होगा / (22) must be changed to (10). For equal distance from the (y)-axis, zeroes should be opposites, so (10) is needed with (-10). Tip: symmetric zeroes are (a) and (-a).
Step 3
Exam Tip
(y)-अक्ष से समान दूरी के लिए शून्यक विपरीत होने चाहिए, इसलिए (-10) के साथ (10) चाहिए। टिप: सममित शून्यक (a) और (-a) होते हैं।
A. (18) को (8) करना होगा/(18) must be changed to (8)
Step 1
Concept
For equal distance from the (y)-axis, zeroes should be opposites, so (8) is needed with (-8). Tip: symmetric zeroes are (a) and (-a).
Step 2
Why this answer is correct
The correct answer is A. (18) को (8) करना होगा / (18) must be changed to (8). For equal distance from the (y)-axis, zeroes should be opposites, so (8) is needed with (-8). Tip: symmetric zeroes are (a) and (-a).
Step 3
Exam Tip
(y)-अक्ष से समान दूरी के लिए शून्यक विपरीत होने चाहिए, इसलिए (-8) के साथ (8) चाहिए। टिप: सममित शून्यक (a) और (-a) होते हैं।
A. (14) को (6) करना होगा/(14) must be changed to (6)
Step 1
Concept
For equal distance from the (y)-axis, zeroes should be opposites, so (6) is needed with (-6). Tip: symmetric zeroes are (a) and (-a).
Step 2
Why this answer is correct
The correct answer is A. (14) को (6) करना होगा / (14) must be changed to (6). For equal distance from the (y)-axis, zeroes should be opposites, so (6) is needed with (-6). Tip: symmetric zeroes are (a) and (-a).
Step 3
Exam Tip
(y)-अक्ष से समान दूरी के लिए शून्यक विपरीत होने चाहिए, इसलिए (-6) के साथ (6) चाहिए। टिप: सममित शून्यक (a) और (-a) होते हैं।
A. (10) को (4) करना होगा/(10) must be changed to (4)
Step 1
Concept
For equal distance from the (y)-axis, zeroes should be opposites, so (4) is needed with (-4). Tip: symmetric zeroes are (a) and (-a).
Step 2
Why this answer is correct
The correct answer is A. (10) को (4) करना होगा / (10) must be changed to (4). For equal distance from the (y)-axis, zeroes should be opposites, so (4) is needed with (-4). Tip: symmetric zeroes are (a) and (-a).
Step 3
Exam Tip
(y)-अक्ष से समान दूरी के लिए शून्यक विपरीत होने चाहिए, इसलिए (-4) के साथ (4) चाहिए। टिप: सममित शून्यक (a) और (-a) होते हैं।
A. (9) को (3) करना होगा/(9) must be changed to (3)
Step 1
Concept
For equal distance from the (y)-axis, zeroes should be opposites, so (3) is needed with (-3). Tip: symmetric zeroes are (a) and (-a).
Step 2
Why this answer is correct
The correct answer is A. (9) को (3) करना होगा / (9) must be changed to (3). For equal distance from the (y)-axis, zeroes should be opposites, so (3) is needed with (-3). Tip: symmetric zeroes are (a) and (-a).
Step 3
Exam Tip
(y)-अक्ष से समान दूरी के लिए शून्यक विपरीत होने चाहिए, इसलिए (-3) के साथ (3) चाहिए। टिप: सममित शून्यक (a) और (-a) होते हैं।
The average of the two zeroes is (2), so the other zero is (7). Tip: in a parabola the axis of symmetry passes through the midpoint of the zeroes.
Step 2
Why this answer is correct
The correct answer is A. (7). The average of the two zeroes is (2), so the other zero is (7). Tip: in a parabola the axis of symmetry passes through the midpoint of the zeroes.
Step 3
Exam Tip
दो शून्यकों का औसत (2) होगा, इसलिए दूसरा शून्यक (7) है। टिप: परवलय में सममिति अक्ष शून्यकों के मध्य से गुजरता है।
The origin is also on the (x)-axis, and (x=-9) is another (x)-axis intersection. Tip: count ((0,0)) as zero (0).
Step 2
Why this answer is correct
The correct answer is A. (0) और (-9) / (0) and (-9). The origin is also on the (x)-axis, and (x=-9) is another (x)-axis intersection. Tip: count ((0,0)) as zero (0).
Step 3
Exam Tip
मूल बिंदु (x)-अक्ष पर भी है और (x=-9) भी (x)-अक्ष कटान है। टिप: ((0,0)) को शून्यक (0) के रूप में गिनें।
The origin is also on the (x)-axis, and (x=6) is another (x)-axis intersection. Tip: count ((0,0)) as zero (0).
Step 2
Why this answer is correct
The correct answer is A. (0) और (6) / (0) and (6). The origin is also on the (x)-axis, and (x=6) is another (x)-axis intersection. Tip: count ((0,0)) as zero (0).
Step 3
Exam Tip
मूल बिंदु (x)-अक्ष पर भी है और (x=6) भी (x)-अक्ष कटान है। टिप: ((0,0)) को शून्यक (0) के रूप में गिनें।
The average of the two zeroes is (5), so the other zero is (11). Tip: the axis of symmetry passes through the midpoint of zeroes.
Step 2
Why this answer is correct
The correct answer is A. (11). The average of the two zeroes is (5), so the other zero is (11). Tip: the axis of symmetry passes through the midpoint of zeroes.
Step 3
Exam Tip
दो शून्यकों का औसत (5) है इसलिए दूसरा शून्यक (11) होगा। टिप: सममिति अक्ष शून्यकों के मध्य से गुजरता है।
The average of the two zeroes is (-2), so the other zero is (-9). Tip: connect the axis of symmetry with the midpoint of zeroes.
Step 2
Why this answer is correct
The correct answer is A. (-9). The average of the two zeroes is (-2), so the other zero is (-9). Tip: connect the axis of symmetry with the midpoint of zeroes.
Step 3
Exam Tip
दो शून्यकों का औसत (-2) है, इसलिए दूसरा शून्यक (-9) होगा। टिप: सममिति अक्ष को शून्यकों के मध्य से जोड़ें।
The average of the two zeroes is (3), so the other zero is (-5). Tip: set \(\frac{a+b}{2}\) equal to the axis of symmetry.
Step 2
Why this answer is correct
The correct answer is A. (-5). The average of the two zeroes is (3), so the other zero is (-5). Tip: set \(\frac{a+b}{2}\) equal to the axis of symmetry.
Step 3
Exam Tip
दो शून्यकों का औसत (3) है इसलिए दूसरा शून्यक (-5) होगा। टिप: \(\frac{a+b}{2}\) को सममिति अक्ष के बराबर रखें।
The average of the two zeroes is (4), so the other zero is (10). Tip: connect the axis of symmetry with the midpoint of zeroes.
Step 2
Why this answer is correct
The correct answer is A. (10). The average of the two zeroes is (4), so the other zero is (10). Tip: connect the axis of symmetry with the midpoint of zeroes.
Step 3
Exam Tip
दोनों शून्यकों का औसत (4) है इसलिए दूसरा शून्यक (10) होगा। टिप: सममिति अक्ष को शून्यकों के मध्य मान से जोड़ें।
The average of the two zeroes is (2), so the other zero is (-5). Tip: set \( \frac{a+b}{2} \) equal to the axis of symmetry.
Step 2
Why this answer is correct
The correct answer is A. (-5). The average of the two zeroes is (2), so the other zero is (-5). Tip: set \( \frac{a+b}{2} \) equal to the axis of symmetry.
Step 3
Exam Tip
दो शून्यकों का औसत (2) है, इसलिए दूसरा शून्यक (-5) होगा। टिप: \( \frac{a+b}{2} \) को सममिति अक्ष के बराबर रखें।
The average of the two zeroes is (1), so the other zero is (7). Tip: the axis of symmetry passes through the midpoint of zeroes.
Step 2
Why this answer is correct
The correct answer is C. (7). The average of the two zeroes is (1), so the other zero is (7). Tip: the axis of symmetry passes through the midpoint of zeroes.
Step 3
Exam Tip
दो शून्यकों का औसत (1) होगा इसलिए दूसरा शून्यक (7) है। टिप: सममिति अक्ष शून्यकों के मध्य से गुजरता है।
The other zero is (8), and the average is \(\frac{-10+8}{2}=-1\). Tip: the axis of symmetry is the average of two zeroes.
Step 2
Why this answer is correct
The correct answer is A. (x=-1). The other zero is (8), and the average is \(\frac{-10+8}{2}=-1\). Tip: the axis of symmetry is the average of two zeroes.
Step 3
Exam Tip
दूसरा शून्यक (8) है और औसत \(\frac{-10+8}{2}=-1\) है। टिप: सममिति अक्ष दो शून्यकों का औसत है।
The other zero is (4), and the average is \(\frac{-8+4}{2}=-2\). Tip: the axis of symmetry is the average of two zeroes.
Step 2
Why this answer is correct
The correct answer is A. (x=-2). The other zero is (4), and the average is \(\frac{-8+4}{2}=-2\). Tip: the axis of symmetry is the average of two zeroes.
Step 3
Exam Tip
दूसरा शून्यक (4) है और औसत \(\frac{-8+4}{2}=-2\) है। टिप: सममिति अक्ष दो शून्यकों का औसत है।
A. (x)-अक्ष पर (p(x)=0) होता है/On the (x)-axis (p(x)=0)
Step 1
Concept
A zero is obtained only when the graph lies on the (x)-axis. Tip: always identify (y=0).
Step 2
Why this answer is correct
The correct answer is A. (x)-अक्ष पर (p(x)=0) होता है / On the (x)-axis (p(x)=0). A zero is obtained only when the graph lies on the (x)-axis. Tip: always identify (y=0).
Step 3
Exam Tip
शून्यक तभी मिलता है जब आलेख (x)-अक्ष पर हो। टिप: (y=0) को हमेशा पहचानें।
B. वे परस्पर विपरीत हैं/They are opposites of each other
Step 1
Concept
The zeroes are (-4) and (4), which are opposites. Tip: such zeroes have sum (0).
Step 2
Why this answer is correct
The correct answer is B. वे परस्पर विपरीत हैं / They are opposites of each other. The zeroes are (-4) and (4), which are opposites. Tip: such zeroes have sum (0).
Step 3
Exam Tip
शून्यक (-4) और (4) हैं, जो परस्पर विपरीत हैं। टिप: ऐसे शून्यकों का योग (0) होता है।
C. वे (y)-अक्ष के दोनों ओर समान दूरी पर हैं/They are equally distant on both sides of the (y)-axis
Step 1
Concept
(-2) and (2) are equally distant from the (y)-axis. Tip: opposite zeroes may indicate symmetry in the graph.
Step 2
Why this answer is correct
The correct answer is C. वे (y)-अक्ष के दोनों ओर समान दूरी पर हैं / They are equally distant on both sides of the (y)-axis. (-2) and (2) are equally distant from the (y)-axis. Tip: opposite zeroes may indicate symmetry in the graph.
Step 3
Exam Tip
(-2) और (2) (y)-अक्ष से समान दूरी पर हैं। टिप: विपरीत शून्यक ग्राफ में सममिति का संकेत दे सकते हैं।
Zeroes are obtained from the points where the graph meets the (x)-axis. So focus on the (x)-axis while reading the graph.
Step 2
Why this answer is correct
The correct answer is A. (x)-अक्ष / (x)-axis. Zeroes are obtained from the points where the graph meets the (x)-axis. So focus on the (x)-axis while reading the graph.
Step 3
Exam Tip
शून्यक (x)-अक्ष से मिलने वाले बिंदुओं से मिलते हैं। इसलिए ग्राफ पढ़ते समय (x)-अक्ष पर ध्यान दें।
Both cutting and touching mean meeting the (x)-axis. There are two distinct points, so there are two distinct real zeroes.
Step 2
Why this answer is correct
The correct answer is A. दो / Two. Both cutting and touching mean meeting the (x)-axis. There are two distinct points, so there are two distinct real zeroes.
Step 3
Exam Tip
कटना और छूना दोनों (x)-अक्ष से मिलना है। दो अलग बिंदु हैं, इसलिए दो अलग वास्तविक शून्यक हैं।
Each distinct intersection with the (x)-axis gives one real zero. Therefore three distinct intersections give three real zeroes.
Step 2
Why this answer is correct
The correct answer is A. तीन / Three. Each distinct intersection with the (x)-axis gives one real zero. Therefore three distinct intersections give three real zeroes.
Step 3
Exam Tip
हर अलग (x)-अक्ष कटाव एक वास्तविक शून्यक देता है। इसलिए तीन अलग कटावों से तीन वास्तविक शून्यक मिलेंगे।
Each distinct intersection with the (x)-axis gives one real zero. With two intersections, there are two real zeroes.
Step 2
Why this answer is correct
The correct answer is A. दो / Two. Each distinct intersection with the (x)-axis gives one real zero. With two intersections, there are two real zeroes.
Step 3
Exam Tip
(x)-अक्ष से प्रत्येक अलग कटाव एक वास्तविक शून्यक देता है। दो कटाव होने पर दो वास्तविक शून्यक होंगे।
The graph of a quadratic polynomial is a parabola. Two distinct intersections with the (x)-axis show two real zeroes.
Step 2
Why this answer is correct
The correct answer is A. दो / Two. The graph of a quadratic polynomial is a parabola. Two distinct intersections with the (x)-axis show two real zeroes.
Step 3
Exam Tip
द्विघात बहुपद का ग्राफ परवलय होता है। (x)-अक्ष पर दो अलग-अलग कटाव दो वास्तविक शून्यक बताते हैं।
B. वे परस्पर विपरीत हैं और योग (0) है/They are opposites and their sum is (0)
Step 1
Concept
The zeroes are (-5) and (5), which are opposite numbers. Tip: such zeroes are equally distant from the (y)-axis.
Step 2
Why this answer is correct
The correct answer is B. वे परस्पर विपरीत हैं और योग (0) है / They are opposites and their sum is (0). The zeroes are (-5) and (5), which are opposite numbers. Tip: such zeroes are equally distant from the (y)-axis.
Step 3
Exam Tip
शून्यक (-5) और (5) हैं, जो विपरीत संख्याएँ हैं। टिप: ऐसे शून्यक (y)-अक्ष से समान दूरी पर होते हैं।
Real zeroes are counted from (x)-axis intersections, not from the (y)-axis intercept. Tip: ((0,25)) does not show a zero.
Step 2
Why this answer is correct
The correct answer is B. दो / Two. Real zeroes are counted from (x)-axis intersections, not from the (y)-axis intercept. Tip: ((0,25)) does not show a zero.
Step 3
Exam Tip
वास्तविक शून्यक (x)-अक्ष कटानों से गिने जाते हैं, (y)-अक्ष कटान से नहीं। टिप: ((0,25)) शून्यक नहीं बताता।
Real zeroes are counted from (x)-axis intersections, not from the (y)-axis intercept. Tip: ((0,-20)) does not show a zero.
Step 2
Why this answer is correct
The correct answer is B. दो / Two. Real zeroes are counted from (x)-axis intersections, not from the (y)-axis intercept. Tip: ((0,-20)) does not show a zero.
Step 3
Exam Tip
वास्तविक शून्यक (x)-अक्ष कटानों से गिने जाते हैं, (y)-अक्ष कटान से नहीं। टिप: ((0,-20)) शून्यक नहीं बताता।
Real zeroes are counted from (x)-axis intersections, not from the (y)-axis intercept. Tip: ((0,18)) does not show a zero.
Step 2
Why this answer is correct
The correct answer is B. दो / Two. Real zeroes are counted from (x)-axis intersections, not from the (y)-axis intercept. Tip: ((0,18)) does not show a zero.
Step 3
Exam Tip
वास्तविक शून्यक (x)-अक्ष कटानों से गिने जाते हैं (y)-अक्ष कटान से नहीं। टिप: ((0,18)) शून्यक नहीं बताता।
Real zeroes are counted from (x)-axis intersections, not from the (y)-axis intercept. Tip: ((0,-15)) does not show a zero.
Step 2
Why this answer is correct
The correct answer is B. दो / Two. Real zeroes are counted from (x)-axis intersections, not from the (y)-axis intercept. Tip: ((0,-15)) does not show a zero.
Step 3
Exam Tip
वास्तविक शून्यक (x)-अक्ष कटानों से गिने जाते हैं, (y)-अक्ष कटान से नहीं। टिप: ((0,-15)) शून्यक नहीं बताता।
B. शून्यक (y)-अक्ष से समान दूरी पर हैं/The zeroes are equally distant from the (y)-axis
Step 1
Concept
(-5) and (5) are equally distant from the (y)-axis. Tip: opposite zeroes show symmetric positions.
Step 2
Why this answer is correct
The correct answer is B. शून्यक (y)-अक्ष से समान दूरी पर हैं / The zeroes are equally distant from the (y)-axis. (-5) and (5) are equally distant from the (y)-axis. Tip: opposite zeroes show symmetric positions.
Step 3
Exam Tip
(-5) और (5) (y)-अक्ष से बराबर दूरी पर हैं। टिप: विपरीत शून्यक सममित स्थिति दिखाते हैं।
The graph does not meet the (x)-axis, so there is no real zero. Tip: the vertex position can help judge intersections.
Step 2
Why this answer is correct
The correct answer is C. शून्य / Zero. The graph does not meet the (x)-axis, so there is no real zero. Tip: the vertex position can help judge intersections.
Step 3
Exam Tip
आलेख (x)-अक्ष से नहीं मिलता इसलिए कोई वास्तविक शून्यक नहीं है। टिप: शीर्ष की स्थिति से भी कटान का अंदाजा लग सकता है।
A (y)-axis intercept does not give a zero because (p(x)\neq0). Tip: meeting the (x)-axis is necessary for a zero.
Step 2
Why this answer is correct
The correct answer is A. शून्य / Zero. A (y)-axis intercept does not give a zero because (p(x)\neq0). Tip: meeting the (x)-axis is necessary for a zero.
Step 3
Exam Tip
(y)-अक्ष कटान शून्यक नहीं देता, क्योंकि (p(x)=0) नहीं है। टिप: शून्यक के लिए (x)-अक्ष से मिलना जरूरी है।
Zeroes are found from intersections with the (x)-axis, not the (y)-axis. So if there is no (x)-axis intersection, there are (0) real zeroes.
Step 2
Why this answer is correct
The correct answer is A. (0). Zeroes are found from intersections with the (x)-axis, not the (y)-axis. So if there is no (x)-axis intersection, there are (0) real zeroes.
Step 3
Exam Tip
शून्यक (x)-अक्ष से मिलने पर मिलते हैं, (y)-अक्ष से नहीं। इसलिए (x)-अक्ष से कटाव न होने पर वास्तविक शून्यक (0) होंगे।
Both cutting and touching count as meeting the (x)-axis. If the two points are distinct, there are two distinct real zeroes.
Step 2
Why this answer is correct
The correct answer is A. दो / Two. Both cutting and touching count as meeting the (x)-axis. If the two points are distinct, there are two distinct real zeroes.
Step 3
Exam Tip
कटना और छूना दोनों (x)-अक्ष से मिलना है। यदि दोनों बिंदु अलग हैं, तो दो अलग वास्तविक शून्यक होंगे।
When a parabola touches the (x)-axis at one point, it has one real zero. In exams, touching the (x)-axis also counts as meeting it.
Step 2
Why this answer is correct
The correct answer is A. एक / One. When a parabola touches the (x)-axis at one point, it has one real zero. In exams, touching the (x)-axis also counts as meeting it.
Step 3
Exam Tip
जब परवलय (x)-अक्ष को केवल एक बिंदु पर छूता है, तो एक वास्तविक शून्यक होता है। परीक्षा में छूना भी (x)-अक्ष से मिलना माना जाता है।
A. दिए गए आधार पर कोई शून्यक नहीं दिखता/No zero is shown from the given data
Step 1
Concept
Zeroes are linked only with the (x)-axis where (y=0). Intersections with (y=2) do not show zeroes.
Step 2
Why this answer is correct
The correct answer is A. दिए गए आधार पर कोई शून्यक नहीं दिखता / No zero is shown from the given data. Zeroes are linked only with the (x)-axis where (y=0). Intersections with (y=2) do not show zeroes.
Step 3
Exam Tip
शून्यक केवल (x)-अक्ष यानी (y=0) से जुड़े होते हैं। (y=2) से प्रतिच्छेद शून्यक नहीं बताता।
A. दो भिन्न वास्तविक शून्यक/Two distinct real zeroes
Step 1
Concept
Two separate intersections give two distinct real zeroes. Different (x)-intercepts mean different zeroes.
Step 2
Why this answer is correct
The correct answer is A. दो भिन्न वास्तविक शून्यक / Two distinct real zeroes. Two separate intersections give two distinct real zeroes. Different (x)-intercepts mean different zeroes.
Step 3
Exam Tip
दो अलग कटान दो अलग वास्तविक शून्यक देते हैं। ग्राफ में अलग (x)-प्रतिच्छेद अलग शून्यक होते हैं।
The zeroes are (-12) and (12), so the product is (-144) and the sum is (0). Tip: opposite zeroes have sum (0).
Step 2
Why this answer is correct
The correct answer is A. गुणनफल (-144), योग (0) / Product (-144), sum (0). The zeroes are (-12) and (12), so the product is (-144) and the sum is (0). Tip: opposite zeroes have sum (0).
Step 3
Exam Tip
शून्यक (-12) और (12) हैं, इसलिए गुणनफल (-144) और योग (0) है। टिप: विपरीत शून्यकों का योग (0) होता है।
The zeroes are (-10) and (10), so the product is (-100) and the sum is (0). Tip: opposite zeroes have sum (0).
Step 2
Why this answer is correct
The correct answer is A. गुणनफल (-100), योग (0) / Product (-100), sum (0). The zeroes are (-10) and (10), so the product is (-100) and the sum is (0). Tip: opposite zeroes have sum (0).
Step 3
Exam Tip
शून्यक (-10) और (10) हैं, इसलिए गुणनफल (-100) और योग (0) है। टिप: विपरीत शून्यकों का योग (0) होता है।
The zeroes are (m), (n), (r), so the mean is \(\frac{m+n+r}{3}\). Tip: take the first coordinate even in symbolic points.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{m+n+r}{3}\). The zeroes are (m), (n), (r), so the mean is \(\frac{m+n+r}{3}\). Tip: take the first coordinate even in symbolic points.
Step 3
Exam Tip
शून्यक (m), (n), (r) हैं इसलिए माध्य \(\frac{m+n+r}{3}\) है। टिप: प्रतीकात्मक बिंदुओं में भी पहला निर्देशांक लें।
The first coordinates of intersection points are the zeroes. Tip: choose points whose second coordinate is (0).
Step 2
Why this answer is correct
The correct answer is B. (-8) और (3) / (-8) and (3). The first coordinates of intersection points are the zeroes. Tip: choose points whose second coordinate is (0).
Step 3
Exam Tip
कटान बिंदुओं के पहले निर्देशांक शून्यक होते हैं। टिप: दूसरे निर्देशांक को (0) देखकर बिंदु चुनें।
The zeroes are (r) and (s), so the average is \(\frac{r+s}{2}\). Tip: divide the sum by the number of values.
Step 2
Why this answer is correct
The correct answer is C. \(\frac{r+s}{2}\). The zeroes are (r) and (s), so the average is \(\frac{r+s}{2}\). Tip: divide the sum by the number of values.
Step 3
Exam Tip
शून्यक (r) और (s) हैं, इसलिए औसत \(\frac{r+s}{2}\) है। टिप: औसत में योग को संख्या से भाग दें।
There are three distinct (x)-axis intersections, so there are three real zeroes. Tip: count only points with (y=0).
Step 2
Why this answer is correct
The correct answer is C. तीन / Three. There are three distinct (x)-axis intersections, so there are three real zeroes. Tip: count only points with (y=0).
Step 3
Exam Tip
तीन अलग (x)-अक्ष कटान हैं इसलिए तीन वास्तविक शून्यक हैं। टिप: केवल (y=0) वाले बिंदु गिनें।
