Assertion (A) : If the graph of a polynomial intersects the x -ax… - Vidyadip

MCQ

Assertion (A) : If the graph of a polynomial intersects the x -axis at exactly two points, then the number of zeroes of that polynomial is 2 .
Reason $(R)$ : The number of zeroes of a polynomial is equal to the number of points where the graph of the polynomial intersects x -axis.

✓
Both Assertion (A) and Reason (R) are true. Reason (R) is the correct explanation of Assertion (A).
B
Both Assertion (A) and Reason (R) are true. Reason (R) does not give correct explanation of (A).
C
Assertion (A) is true but Reason (R) is false.
D
Assertion (A) is not true but Reason (R) is true.

✓

Answer

Correct option: A.

Both Assertion (A) and Reason (R) are true. Reason (R) is the correct explanation of Assertion (A).

a

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Assertion (A) & Reason (B) MCQ" from Maths (Standard) 2024 Compartment Exams Set-1→Maths (Standard) 2024 Compartment Exams Set-1 — all question types→Maths STD 10 question papers→CBSE Board STD 10 question papers→CBSE Board question paper generator→

Similar questions

Assertion (A): The sum of the series with the $n$th term. $t_n=(9-5 n)$ is (465), when no. of terms $n=15$.
Reason (R): Given series is in A.P. and sum of n terms of an A.P. is $S _{ n }=\frac{n}{2}[2 a+(n-1) d]$

Statement A (Assertion): If $T P$ and $T Q$ are the two tangents to a circle with centre $O$ so that $\angle P O Q=123^{\circ}$, then $\angle P T Q=57^{\circ}$.
Statement $R$ (Reason) : The tangent at any point of a circle is perpendicular to the radius through the point of contact.

Directions : In the following questions, a statement of assertion $(A)$ is followed by a statement of reason $(R).$ Mark the correct choice as:
Assertion : If the height of a cone is $24\ cm$ and diameter of the base is $14\ cm,$ then the slant height of the cone is $15\ cm.$
Reason : If $r$ be the radius and fh the slant height of the cone, then slant height $=\sqrt{\text{h}^2+\text{r}^2}$

Directions : In the following questions, the Assertions $(A)$ and Reason $(s) \ (R$) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion : $3 y^2+17 y-30=0$ have distinct roots.
Reason : The quadratic equation $a x^2+b x+c=0$ have distinct roots $($real roots$)$ if $D>0$.

Directions : In the following questions, the Assertions $(A)$ and Reason $(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion : If the pair of lines are coincident, then we say that pair of lines is consistent and it has a unique solution.
Reason : If the pair of lines are parallel, then the pair has no solution and is called inconsistent pair of equations.

Statement A (Assertion) : A ladder $16 m$ long just reaches the top of a vertical wall. If the ladder makes an angle of $60^{\circ}$ with the wall, then the height of the wall is $8 m$.
Statement R (Reason): The value of $\sin 60^{\circ}=\frac{\sqrt{3}}{2}$.

Assertion $(A):$ Three consecutive terms $2 k+1,3 k+3$ and $5 k-1$ form an $AP$ than $k$ is equal to $6 .$
Reason $(R):$ In an $AP\ a , a + d , a +2 d, \ldots$ the sum to $n$ terms of the $AP$ be $S _{ n }=\frac{n}{2}(2 a+(n-1) d)$

Directions : In the following questions, a statement of assertion $(A)$ is followed by a statement of reason $(R.)$ Mark the correct choice as :
Assertion : $ \sin\text{A}$ is the product of $ \sin\text{A}$
Reason : The value of $\sin\theta$ increases as $\theta$ increases.

Directions: In the following questions, the Assertions $(A)$ and Reason $(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A) : (2 x-1)^2-4 x^2+5=0$ ota quadratic equation.
Reason $(R) : x=0,3$ are the roots of the equation $2 x^2-6 x=0$.

Directions : In the following questions, a statement of assertion $(A)$ is followed by a statement of reason $(R)$.Mark the correct choice as:
Assertion : An event is very unlikely to happen.Its probability is $0.0001$
Reason : If $P(A)$ denote the probability of an event $\text{A,}$ then $0\leq\text{P(A)}\leq1.$