signs se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.
44 questions tagged with signs.
Solving (9x-4y=11) and (3x+4y=25), what is the value of (x-y)?
B. (1)
जोड़ने पर (12x=36), इसलिए (x=3) और (y=4)। अतः (x-y=-1), चिन्हों की जांच करें। / Adding gives (12x=36), so (x=3) and (y=4). Hence (x-y=-1); check signs before marking.
Login to save your score, XP, coins and progress.
Choose the solution of (y=15-2x) and (x-y=6).
D. ( (7,1) )
(15-2x) को (y) की जगह रखने पर (x-(15-2x)=6), इसलिए (x=7) और (y=1)। ऋण के साथ कोष्ठक जरूर लगाएँ। / Putting (15-2x) in place of (y) gives (x-(15-2x)=6), so (x=7) and (y=1). Always use brackets with a minus sign.
Login to save your score, XP, coins and progress.
Which polynomial has zeroes (-1) and (4)?
A. \(x^2-3x-4\)
शून्यकों से बहुपद ((x+1)(x-4)=x-2-3x-4) बनता है। चिन्ह बदलते समय सावधानी रखें। / The polynomial is ((x+1)(x-4)=x-2-3x-4). Be careful with signs while forming factors.
Login to save your score, XP, coins and progress.
If (p(x)=2x-3-5x-2+mx+6) leaves remainder (0) when divided by (x+1), what is (m)?
A. (-13)
शेष प्रमेय से (p(-1)=0), इसलिए (-2-5-m+6=0) और (m=-1) नहीं, सही समीकरण (-1-m=0) देता है (m=-1)। / By remainder theorem (p(-1)=0), so (-2-5-m+6=0), giving (-1-m=0) and (m=-1). Always check signs carefully.
Login to save your score, XP, coins and progress.
In (p(x)=3x-3-7x-2+2x-11), what is the sum of the coefficient of \(x^2\) and the constant term?
A. (-18)
\(x^2\) का गुणांक (-7) और अचर पद (-11) है, इसलिए योग (-18) है। संकेत सहित जोड़ना न भूलें। / The coefficient of \(x^2\) is (-7) and the constant term is (-11), so the sum is (-18). Do not forget to add with signs.
Login to save your score, XP, coins and progress.
Which option shows the correct group of terms of \(x^2-5x+6\)?
A. \(x^2\), (-5x), (6)
चिह्न सहित पद \(x^2\), (-5x) और (6) हैं। पद पहचानते समय ऋण चिह्न साथ रखें। / The terms with signs are \(x^2\), (-5x), and (6). Keep the negative sign with the term while identifying terms.
Login to save your score, XP, coins and progress.
What is the value of (\left\(-\dfrac{1}{2}\right\)^{-3})?
A. (,-8,)
ऋणात्मक घात से भिन्न उलटती है, इसलिए (\left\(-\dfrac{1}{2}\right\)^{-3}=(-2)3=-8)। परीक्षा में negative base का sign power के अनुसार रखें। / A negative exponent inverts the fraction, so (\left\(-\dfrac{1}{2}\right\)^{-3}=(-2)3=-8). In exams, keep the sign of a negative base according to the power.
Login to save your score, XP, coins and progress.
What is the value of ((-2)4-(-2)3)?
A. (,24,)
((-2)4=16) और ((-2)3=-8), इसलिए (16-(-8)=24)। परीक्षा में odd और even powers के sign अलग होते हैं। / ((-2)4=16) and ((-2)3=-8), so (16-(-8)=24). In exams, odd and even powers have different signs.
Login to save your score, XP, coins and progress.
What is the expansion of ((x-7)(x+3))?
A. \(x^2-4x-21\)
गुणा करने पर \(x^2+3x-7x-21=x^2-4x-21\) है। चिह्नों पर ध्यान दें। / Multiplying gives \(x^2+3x-7x-21=x^2-4x-21\). Pay attention to signs.
Login to save your score, XP, coins and progress.
What is the expansion of ((x-5)(x+2))?
A. \(x^2-3x-10\)
गुणा करने पर \(x^2+2x-5x-10=x^2-3x-10\) है। चिह्नों पर ध्यान दें। / Multiplying gives \(x^2+2x-5x-10=x^2-3x-10\). Pay attention to signs.
Login to save your score, XP, coins and progress.
What is the expansion of ((x-4)(x+1))?
A. \(x^2-3x-4\)
गुणा करने पर \(x^2+x-4x-4=x^2-3x-4\) मिलता है। चिह्नों पर विशेष ध्यान दें। / Multiplying gives \(x^2+x-4x-4=x^2-3x-4\). Pay close attention to signs.
Login to save your score, XP, coins and progress.
What will be the nature of roots of \(7x^2+2x-3=0\)?
A. दो भिन्न वास्तविक मूलTwo distinct real roots
यहां (D=22-4\cdot7\cdot(-3)=88), इसलिए (D>0)। परीक्षा में (c) ऋणात्मक हो तो (D) अक्सर धनात्मक हो सकता है। / Here (D=22-4\cdot7\cdot(-3)=88), so (D>0). In exams, when (c) is negative, (D) can often become positive.
Login to save your score, XP, coins and progress.
Which number pair helps in making the middle term in \(x^2-20x+96=0\)?
A. (-8) और (-12)(-8) and (-12)
(-8+(-12)=-20) और ((-8)(-12)=96), इसलिए यह जोड़ी सही है। परीक्षा में (c) धनात्मक और (b) ऋणात्मक हो तो दोनों संख्याएं ऋणात्मक होती हैं। / (-8+(-12)=-20) and ((-8)(-12)=96), so this pair is correct. In exams, when (c) is positive and (b) is negative, both numbers are negative.
Login to save your score, XP, coins and progress.
What is the correct splitting of the middle term in \(4x^2-19x-5=0\)?
A. \(4x^2-20x+x-5=0\)
यहां (ac=-20) और (-20+1=-19), इसलिए मध्य पद (-20x+x) होगा। परीक्षा में (ac) का संकेत ध्यान से देखें। / Here (ac=-20) and (-20+1=-19), so the middle term is (-20x+x). In exams, check the sign of (ac) carefully.
Login to save your score, XP, coins and progress.
Which number pair helps in making the middle term in \(x^2-18x+80=0\)?
A. (-8) और (-10)(-8) and (-10)
(-8+(-10)=-18) और ((-8)(-10)=80), इसलिए यह जोड़ी सही है। परीक्षा में (c) धनात्मक और (b) ऋणात्मक हो तो दोनों संख्याएं ऋणात्मक होती हैं। / (-8+(-10)=-18) and ((-8)(-10)=80), so this pair is correct. In exams, when (c) is positive and (b) is negative, both numbers are negative.
Login to save your score, XP, coins and progress.
What is the correct splitting of the middle term in \(5x^2-13x-6=0\)?
A. \(5x^2-15x+2x-6=0\)
यहां (ac=-30) और (-15+2=-13), इसलिए मध्य पद (-15x+2x) होगा। परीक्षा में (ac) का संकेत ध्यान से देखें। / Here (ac=-30) and (-15+2=-13), so the middle term is (-15x+2x). In exams, check the sign of (ac) carefully.
Login to save your score, XP, coins and progress.
Which number pair helps in making the middle term in \(x^2-14x+45=0\)?
A. (-5) और (-9)(-5) and (-9)
(-5+(-9)=-14) और ((-5)(-9)=45), इसलिए यह जोड़ी सही है। परीक्षा में (c) धनात्मक और (b) ऋणात्मक हो तो दोनों संख्याएं ऋणात्मक हो सकती हैं। / (-5+(-9)=-14) and ((-5)(-9)=45), so this pair is correct. In exams, if (c) is positive and (b) is negative, both numbers may be negative.
Login to save your score, XP, coins and progress.
What is the correct splitting of the middle term in \(3x^2-11x+6=0\)?
A. \(3x^2-9x-2x+6=0\)
((-9)+(-2)=-11) और ((-9)(-2)=18=ac), इसलिए (-9x-2x) सही है। परीक्षा में (ac) देखकर मध्य पद तोड़ें। / ((-9)+(-2)=-11) and ((-9)(-2)=18=ac), so (-9x-2x) is correct. In exams, split the middle term by checking (ac).
Login to save your score, XP, coins and progress.
Which are the roots of \(x^2+9x+20=0\)?
A. (x=-4,-5)
(x-2+9x+20=(x+4)(x+5)), इसलिए मूल (-4) और (-5) हैं। परीक्षा में धनात्मक मध्य पद से ऋणात्मक मूल मिल सकते हैं। / (x-2+9x+20=(x+4)(x+5)), so the roots are (-4) and (-5). In exams, a positive middle term can give negative roots.
Login to save your score, XP, coins and progress.
What is the correct splitting of the middle term in \(2x^2-7x+5=0\)?
A. \(2x^2-2x-5x+5=0\)
((-2)+(-5)=-7) और ((-2)(-5)=10=ac), इसलिए (-2x-5x) सही है। परीक्षा में मध्य पद तोड़ते समय (ac) देखना जरूरी है। / ((-2)+(-5)=-7) and ((-2)(-5)=10=ac), so (-2x-5x) is correct. In exams, checking (ac) is important while splitting the middle term.
Login to save your score, XP, coins and progress.
Which are the roots of \(x^2+8x+12=0\)?
A. (x=-2,-6)
(x-2+8x+12=(x+2)(x+6)), इसलिए मूल (-2) और (-6) हैं। परीक्षा में धनात्मक मध्य पद से ऋणात्मक मूल मिल सकते हैं। / (x-2+8x+12=(x+2)(x+6)), so the roots are (-2) and (-6). In exams, a positive middle term can give negative roots.
Login to save your score, XP, coins and progress.
How will \(x^2+11x+30=0\) be written in factorised form?
A. ((x+5)(x+6)=0)
(5+6=11) और \(5\times6=30\), इसलिए सही गुणनखंड ((x+5)(x+6)) हैं। परीक्षा में धनात्मक (c) और धनात्मक (b) पर दोनों चिन्ह धनात्मक होते हैं। / (5+6=11) and \(5\times6=30\), so the correct factors are ((x+5)(x+6)). In exams, positive (c) and positive (b) give both positive signs.
Login to save your score, XP, coins and progress.
What is the correct splitting of the middle term in \(2x^2-5x+3=0\)?
A. \(2x^2-2x-3x+3=0\)
((-2)+(-3)=-5) और ((-2)(-3)=6=ac), इसलिए सही विभाजन (-2x-3x) है। परीक्षा में दोनों संख्याओं का गुणनफल (ac) होना चाहिए। / ((-2)+(-3)=-5) and ((-2)(-3)=6=ac), so the correct split is (-2x-3x). In exams, the product of the two numbers must be (ac).
Login to save your score, XP, coins and progress.
What are the correct factors for \(x^2-2x-8=0\)?
A. ((x-4)(x+2))
(-4+2=-2) और \(-4\times2=-8\), इसलिए ((x-4)(x+2)) सही है। परीक्षा में गुणनफल और योग दोनों मिलाएं। / Since (-4+2=-2) and \(-4\times2=-8\), ((x-4)(x+2)) is correct. In exams, match both product and sum.
Login to save your score, XP, coins and progress.
What are the roots of \(x^2+10x+21=0\)?
A. (-3) और (-7)(-3) and (-7)
(x-2+10x+21=(x+3)(x+7)) है। इसलिए मूल (-3) और (-7) हैं। / (x-2+10x+21=(x+3)(x+7)). Therefore the roots are (-3) and (-7).
Login to save your score, XP, coins and progress.
What are the roots of \(x^2+9x+20=0\)?
A. (-4) और (-5)(-4) and (-5)
(x-2+9x+20=(x+4)(x+5)) है। इसलिए मूल (-4) और (-5) हैं। / (x-2+9x+20=(x+4)(x+5)). Therefore the roots are (-4) and (-5).
Login to save your score, XP, coins and progress.
What are the roots of \(x^2+5x+6=0\)?
A. (-2) और (-3)(-2) and (-3)
(x-2+5x+6=(x+2)(x+3)) इसलिए मूल (-2) और (-3) हैं। चिन्हों पर विशेष ध्यान दें। / (x-2+5x+6=(x+2)(x+3)) so the roots are (-2) and (-3). Pay special attention to signs.
Login to save your score, XP, coins and progress.
In which option will the sum of roots be positive and the product of roots be positive?
A. \(x^2-9x+20=0\)
पहले विकल्प में योग \(-\frac{b}{a}=9\) और गुणनफल \(\frac{c}{a}=20\) है। इसलिए दोनों धनात्मक हैं। / In the first option, the sum is \(-\frac{b}{a}=9\) and the product is \(\frac{c}{a}=20\). So both are positive.
Login to save your score, XP, coins and progress.
In which option will the sum of roots be negative and the product of roots be negative?
A. \(x^2+5x-24=0\)
पहले विकल्प में योग \(-\frac{b}{a}=-5\) और गुणनफल \(\frac{c}{a}=-24\) है। इसलिए दोनों ऋणात्मक हैं। / In the first option, the sum is \(-\frac{b}{a}=-5\) and the product is \(\frac{c}{a}=-24\). So both are negative.
Login to save your score, XP, coins and progress.
In which option will the sum of roots be positive and the product of roots be negative?
A. \(x^2-6x-16=0\)
पहले विकल्प में योग \(-\frac{b}{a}=6\) और गुणनफल \(\frac{c}{a}=-16\) है। इसलिए योग धनात्मक और गुणनफल ऋणात्मक है। / In the first option, the sum is \(-\frac{b}{a}=6\) and the product is \(\frac{c}{a}=-16\). So the sum is positive and the product is negative.
Login to save your score, XP, coins and progress.
Use Google login or mobile OTP. Admin can block users and control login providers.