Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
Difficulty select karke sirf is topic ke focused MCQs practice karein. Score, timer aur explanations student-friendly flow me milenge.
Showing 171-180 of 550 questions.
Which factor form can represent \(x^2+7x+12=0\)?
A. ((x+3)(x+4)=0)
(3) और (4) का गुणनफल (12) और योग (7) है। इसलिए ((x+3)(x+4)=0) सही है। / The product of (3) and (4) is (12), and their sum is (7). Therefore ((x+3)(x+4)=0) is correct.
Login to save your score, XP, coins and progress.
What is the value of (ac) in \(2x^2+7x+3=0\)?
A. (6)
यहाँ (a=2) और (c=3), इसलिए (ac=6) है। मध्य पद विधि में (ac) महत्वपूर्ण होता है। / Here (a=2) and (c=3), so (ac=6). The product (ac) is important in the splitting middle term method.
Login to save your score, XP, coins and progress.
Which equation has (b=0) and (c<0)?
B. \(3x^2-12=0\)
\(3x^2-12=0\) में (b=0) और (c=-12) है। अनुपस्थित (x) पद का गुणांक (0) मानें। / In \(3x^2-12=0\), (b=0) and (c=-12). Treat the missing (x) term coefficient as (0).
Login to save your score, XP, coins and progress.
How will \(\frac{x^2}{2}+3x-5=0\) be written in standard form without fractions?
A. \(x^2+6x-10=0\)
पूरे समीकरण को (2) से गुणा करने पर \(x^2+6x-10=0\) मिलता है। भिन्न हटाने के लिए हर से गुणा करें। / Multiplying the whole equation by (2) gives \(x^2+6x-10=0\). To remove fractions, multiply by the denominator.
Login to save your score, XP, coins and progress.
What is the form with integer coefficients for \(\frac{1}{3}x^2-\frac{2}{3}x+1=0\)?
A. \(x^2-2x+3=0\)
हर (3) हटाने के लिए पूरे समीकरण को (3) से गुणा करें। इससे \(x^2-2x+3=0\) मिलता है। / Multiply the whole equation by (3) to remove the denominator (3). This gives \(x^2-2x+3=0\).
Login to save your score, XP, coins and progress.
Which option is not a quadratic equation?
C. \(x+\frac{1}{x}=2\)
\(x+\frac{1}{x}=2\) में चर हर में है, इसलिए यह सीधे द्विघात मानक रूप में नहीं है। द्विघात बहुपद रूप में ऋणात्मक घात नहीं होती। / In \(x+\frac{1}{x}=2\), the variable is in the denominator, so it is not directly in standard quadratic form. A quadratic polynomial form has no negative power.
Login to save your score, XP, coins and progress.
What is the value of (b) in \(x^2+2\sqrt{3}x+3=0\)?
A. \(2\sqrt{3}\)
(x) के साथ लगा गुणांक \(2\sqrt{3}\) है। करणी वाले गुणांक भी सामान्य गुणांक की तरह लिए जाते हैं। / The coefficient attached to (x) is \(2\sqrt{3}\). Radical coefficients are treated like ordinary coefficients.
Login to save your score, XP, coins and progress.
If (x=2) and (x=-3) are roots of a quadratic equation, what is the sum of the roots?
B. (-1)
मूलों का योग (2+(-3)=-1) है। अलग-अलग चिन्ह वाले पूर्णांकों को जोड़ते समय बड़े परिमाण का चिन्ह लें। / The sum of roots is (2+(-3)=-1). When adding integers with unlike signs, take the sign of the larger magnitude.
Login to save your score, XP, coins and progress.
If the roots are (4) and (6), what is the product of the roots?
B. (24)
मूलों का गुणनफल \(4\cdot6=24\) है। मूलों से समीकरण बनाते समय योग और गुणनफल दोनों उपयोगी होते हैं। / The product of roots is \(4\cdot6=24\). Sum and product are both useful while forming an equation from roots.
Login to save your score, XP, coins and progress.
Which quadratic equation has sum of roots (5) and product (6)?
A. \(x^2-5x+6=0\)
\(मोनिक समीकरण (x^2-(\)योग)x+गुणनफल=0) होता है। इसलिए \(x^2-5x+6=0\) सही है। \(/ A monic equation is (x^2-(\)sum)x+product\(=0). Hence (x^2-5x+6=0) is correct.\)
Login to save your score, XP, coins and progress.
Use Google login or mobile OTP. Admin can block users and control login providers.