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Mathematics Assertion (A) & Reason (B) MCQ

Quadratic Equations · ICSE STD 10 (ICSE - English Medium). 4 questions.

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Assertion (A) & Reason (B) MCQ

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4 questions · timed · auto-graded

Question 11 Mark
Assertion (A) : If one root of the quadratic equation $6 x^2-x-p=0$ is $\frac{2}{3}$, then the value of $p$ is 2 .
Reason (R) : Some quadratic equations can have more than two roots.
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Question 21 Mark
Assertion (A) : If $a x^2-2 x+2=0$ has no real root, then $a>\frac{1}{2}$
Reason (R) : A quadratic equation will have real root, if discriminant $D \leq 0$.
Answer
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Question 31 Mark
Assertion (A) : If the equations $x^2-a x+b=0$ and $x^2+b x-a=0$, have a common root, then $a+b \neq 0$ and $a-b=0$.
Reason (R) : A common root of two equations satisfies both the equations.
Answer
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Question 41 Mark
Assertion (A) : Roots of every quadratic equation can be obtained by quadratic formula.
Reason (R) :For a quadratic equation, $a x^2+b x+c=0, a \neq 0, x=\frac{-b \pm \sqrt{b^2-4 a c}}{2 a}$.
Answer
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Assertion (A) & Reason (B) MCQ - Mathematics STD 10 Questions - Vidyadip