(p(x)=\(x+\sqrt{5}\)2), so the zero is \(-\sqrt{5}\) twice. A perfect-square form gives a repeated zero.
Step 2
Why this answer is correct
The correct answer is A. \(-\sqrt{5}\) दो बार / \(-\sqrt{5}\) twice. (p(x)=\(x+\sqrt{5}\)2), so the zero is \(-\sqrt{5}\) twice. A perfect-square form gives a repeated zero.
Step 3
Exam Tip
(p(x)=\(x+\sqrt{5}\)2), इसलिए शून्यक \(-\sqrt{5}\) दो बार है। पूर्ण वर्ग रूप से दोहराया शून्यक मिलता है।
Both zeroes are \(\sqrt{3}\), so the sum is \(2\sqrt{3}\). In \(x^2+kx+3\), the sum is (-k), hence \(k=-2\sqrt{3}\).
Step 2
Why this answer is correct
The correct answer is A. \(-2\sqrt{3}\). Both zeroes are \(\sqrt{3}\), so the sum is \(2\sqrt{3}\). In \(x^2+kx+3\), the sum is (-k), hence \(k=-2\sqrt{3}\).
Step 3
Exam Tip
दोनों शून्यक \(\sqrt{3}\) हैं, इसलिए योग \(2\sqrt{3}\) है। \(x^2+kx+3\) में योग (-k) है, अतः \(k=-2\sqrt{3}\)।
A. एक ही अपरिमेय शून्यक दो बार/One irrational zero repeated twice
Step 1
Concept
It is (\(x-\sqrt{7}\)2). So \(\sqrt{7}\) is a zero occurring twice.
Step 2
Why this answer is correct
The correct answer is A. एक ही अपरिमेय शून्यक दो बार / One irrational zero repeated twice. It is (\(x-\sqrt{7}\)2). So \(\sqrt{7}\) is a zero occurring twice.
Step 3
Exam Tip
यह (\(x-\sqrt{7}\)2) है। इसलिए \(\sqrt{7}\) दो बार आने वाला शून्यक है।
A. दोनों शून्यक \(\sqrt{5}\) हैं/Both zeroes are \(\sqrt{5}\)
Step 1
Concept
This polynomial equals (\(x-\sqrt{5}\)2). Hence \(\sqrt{5}\) is a repeated zero.
Step 2
Why this answer is correct
The correct answer is A. दोनों शून्यक \(\sqrt{5}\) हैं / Both zeroes are \(\sqrt{5}\). This polynomial equals (\(x-\sqrt{5}\)2). Hence \(\sqrt{5}\) is a repeated zero.
Step 3
Exam Tip
यह बहुपद (\(x-\sqrt{5}\)2) के बराबर है। अतः \(\sqrt{5}\) दोहरा शून्यक है।
The repeated factor gives equal zero (-2). A quadratic parabola generally touches the (x)-axis at such a point.
Step 2
Why this answer is correct
The correct answer is A. ((-2,0)) पर छुएगा / It will touch at ((-2,0)). The repeated factor gives equal zero (-2). A quadratic parabola generally touches the (x)-axis at such a point.
Step 3
Exam Tip
दोहराए गुणनखंड से समान शून्यक (-2) मिलता है। द्विघात परवलय ऐसे बिंदु पर सामान्यतः (x)-अक्ष को छूता है।
((x-3)2=0) gives only (x=3), and the square causes touching. Tip: the outside (2) does not change the zero.
Step 2
Why this answer is correct
The correct answer is A. (x=3) पर स्पर्श करेगा / It will touch at (x=3). ((x-3)2=0) gives only (x=3), and the square causes touching. Tip: the outside (2) does not change the zero.
Step 3
Exam Tip
((x-3)2=0) से केवल (x=3) मिलता है और वर्ग के कारण स्पर्श होता है। टिप: बाहर का (2) शून्यक नहीं बदलता।
((x+1)2=0) gives only (x=-1), and it is a repeated zero. Tip: a squared factor often indicates touching.
Step 2
Why this answer is correct
The correct answer is B. (x=-1) पर स्पर्श करेगा / It will touch at (x=-1). ((x+1)2=0) gives only (x=-1), and it is a repeated zero. Tip: a squared factor often indicates touching.
Step 3
Exam Tip
((x+1)2=0) से केवल (x=-1) मिलता है और यह दोहराया शून्यक है। टिप: वर्ग वाले कारक में स्पर्श की संभावना देखें।
