Statement-1 (A): Diagonals of a rectangle are equal and perpendicular to each other. Statement-2 (R): Diagonals of a rhombus are perpendicular to each other.

D. Statement-1 is false, Statement-2 is true.

Statement-1 (A): Diagonals of a rectangle are equal and perpendic…

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 triangle in which two sides are equal is called isosceles triangle.
Reason: Angle opposite to equal sides of an isosceles triangle are unequal.

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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 Cartesian plane consists of two mutually perpendicular lines intersecting at their zeros.
Reason: The Cartesian plane consists of two perpendicular and directed lines whose intersection point is the zero point for both the lines.

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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 point on the number line corresponds to a real number which may be either rational or irrational.
Reason: The Decimal representaion of the rational number $ \frac{8}{27}$ is $0.296.$

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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: Class mark of a class is obtained by using$\frac{1}{2}$(upper limit - lower limit)
Reason: Class mark is the mean of the upper limit and lower limit of the class.

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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 rationalize factor of $6+\sqrt7$ is $6-\sqrt7.$
Reason: $7, 8, 10,$ are the negative integers.

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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 of first ten odd natural number is $10.$
Reason: Mean of $n$ number $=\frac{\text{ sum of number}}{\text{n}}$

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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 $(x-1)$ is the factor of $4 x^3+3 x^2-4 x+k$ then $k=-3$.
Reason: $(x+y)^2=x^2+y^2+2 x y$.

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Statement-1 (A): If $f(x+2)=2 x^2+7 x+5$, then the remainder when $f(x)$ is divided by $(x-$ $1)$ is 0 .
Statement-2 (R): If a polynomial $f(x)$ is divided by $(a x+b)$, then the remainder is $f(b / a)$.

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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 mode and mean is given by $7$ and $8,$ respectively. Then the median is $\frac{22}{5}$
Reason: Mode $= 3$ Median $–\ 5$ Mean.

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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: With a given centre and a given radius, only one circle can be drawn.
Reason: Because circles have only one parameter.

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