MCQ
Statement-1 (A):  The altitude p of an equilateral triangle having each side a is given by $p=\frac{\sqrt{3}}{2} a$.
Statement-2 (R): if p is the altitude of an equilateral triangle, then its area A is given by $\Delta=\frac{p^2}{\sqrt{3}}.$
  • A
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-2
  • Statement-1 is true, Statement-2 is true: Statement-2 is not a correct explanation for Statement-1.
  • C
    Statement-1 is true. Statement-2 is false.
  • D
    Statement-1 is false, Statement-2 is true.

Answer

Correct option: B.
Statement-1 is true, Statement-2 is true: Statement-2 is not a correct explanation for Statement-1.
B

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

Similar questions

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: Every trapazoid is a parallelogram.
Reason: A trapazoid is a quadrilateral whose opposite side are parallel.
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: In an equilateral triangle, median, angle bisector, and altitude for all sides are all the same.
Reason: The area of an equilateral triangle is $\sqrt{3\text{a}}^\frac{2}{4}$.
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: The point $(-5, 0)$ lies on $y$ - axis and $(0, 4)$ on $x$ - axis.
Reason: Every point on the $x$ - axis has zero distance from $x$ - axis and every point on the $y$ - axis has zero distance from $y$ - axis.
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: $SSA$ is a criterion for the congruence of triangles.
Reason: $SAS, ASA$ and $SSS$ are not the criteria for the congruence of triangles.
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 each data in the observation is increased by $5,$ then the mean is increased by $5.$
Reason: The mean is the average of the given values.
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: Mean may or may not be the appropriate measure of central tendency.
Reason: If the number of observations are even then median is $\Big(\frac{(\text{n+1)}}{2}\Big)$ term.
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 sequence finite or infinite list of numbers
Reason: 1, 2, 3, 4 ——– is the sequence an infinite sequence of natural no.
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: Sum of two adjacent angle is $70^\circ $.
Reason: Two angles which have a different vertex, a different arm and same interiors are said to be adjacent angles.
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 closed cylindrical tank of radius $7m$ and height $3m$ is made from metal $440m^2$ sheet of metal is required.
Reason: Surface area of cylinder $=2\pi\text{r}\text{(r+h)}$
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: Area of triangle $= \sqrt{\text{s}(\text{s}-{a})(\text{s}-\text{b})(\text{s}-\text{c})}.$
Reason: $ \text{s}=\frac{(\text{a}+\text{b}+\text{c})}{2}$