Download App

Quadrilaterals — MATHS STD 9 — Question

Rajasthan BoardEnglish MediumSTD 9MATHSQuadrilaterals1 Mark
Question
Assertion and Reason Type MCQ
Assertion: In a rhombus ABCD, the diagonal AC bisects $\angle\text{A}$ as well as $\angle\text{C}.$
Reason: The diagonals of a rhombus bisect each other at right angles.
  1. Both Assertion (A) and Reason (R) are true and Reason is a correct explanation of Assertion (A).
  2. Both Assertion (A) and Reason (R) are true but Reason is not a correct explanation of Assertio (A).
  3. Assertion (A) is true and Reason (R) is false.
  4. Assertion (A) is false and Reason (R) is true.
✓

Answer

  1. Both Assertion (A) and Reason (R) are true but Reason is not a correct explanation of Assertio (A).
    Solution:

    In a rhombus ABCD, the diagonal AC bisects $\angle\text{A}$ as well as $\angle\text{C}.$
    So, the Assertion (A) is true.
    The diagonal of a rhombus bisect each other at right angles.
    So, the Reason (R) is true, and is not the correct explanation for the Assertion (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 Quadrilaterals→Quadrilaterals — all question types→MATHS STD 9 question papers→Rajasthan Board STD 9 question papers→Rajasthan Board question paper generator→

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: If diameter of a sphere is decreased by 25%, then its curved surface area is decreased by 43.75%.
Reason: Curved surface area is increased when diameter decreases.
  1. Both assertion and reason are true and reason is the correct explanation of assertion.
  2. Both assertion and reason are true but reason is not the correct explanation of assertion.
  3. Assertion is true but reason is false.
  4. Assertion is false but reason is true.
→
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 sides of a triangle are 3cm, 4cm and 5cm. Its area is 6cm2.
Reason: If 2s = (a + b + c), where a, b, c are the sides of a triangle, then area $=\sqrt{(\text{s}-\text{a})(\text{s}-\text{b})(\text{s}-\text{c})}.$
  1. Both assertion and reason are true and reason is the correct enatixplaon of assertion.
  2. Both assertion and reason are true but reason is not the correct explanation of assertion.
  3. Assertion is true but reason is false.
  4. Assertion is false but reason is true.
→
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 maximum number of zeroes that a polynomial of degree 4 can have is 4.
Reason: The graph of the polynomial p(x) = 5x - 7 is a straight line which intersects the x - axis at exactly one point is $\big(\frac{7}{5}, 0\big)$.
  1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
  2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
  3. Assertion is true but the reason is false.
  4. Both assertion and reason are false.
→
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 difference between the maximum and minimum values of the given observation is called range.
Reason: The maximum value is 120 if the range is 38 and the minimum value is 82.
  1. Both Assertion and reason are correct and reason is correct explanation for Assertion.
  2. Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  3. Assertion is correct but reason is false.
  4. Both Assertions and reason are false.
→
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 difference between the mode and median is 2, then the difference between the median and mean is 1
Reason: Mean - Mode = 3 [ Mean - Median ]
  1. Both Assertion and reason are correct and reason is correct explanation for Assertion.
  2. Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  3. Assertion is correct but reason is false.
  4. Both Assertions and reason are false.
→
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:  Range = Maximum value  –  Minimum value.
Reason: The range of the first 6 multiples of 6 is 9.
  1. Both Assertion and reason are correct and reason is correct explanation for Assertion.
  2. Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  3. Assertion is correct but reason is false.
  4. Both Assertions and reason are false.
→
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 sides of a triangle are in the ratio of 25 : 14 : 12 and its perimeter is 510cm. Then the area of the triangle is 4449.08cm2.
Reason: Perimeter of a triangle = a + b + c, where a, b, c are sides of a triangle.
  1. Both assertion and reason are true and reason is the correct enatixplaon of assertion.
  2. Both assertion and reason are true but reason is not the correct explanation of assertion.
  3. Assertion is true but reason is false.
  4. Assertion is false but reason is true.
→
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 n observations $=\frac{\text{Number of observations}}{\text{Sum of observations}}$
Reason: If the mean of five observations x, x + 2, x + 4, x + 6, x + 8 is 11, then mean of last three observations is 8.
  1. Both Assertion and reason are correct and reason is correct explanation for Assertion.
  2. Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  3. Assertion is correct but reason is false.
  4. Both Assertions and reason are false.
→
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 median of the following observation 0, 1, 2, 3, x , x + 2, 8, 9, 11, 12 arranged in ascending order is 63, then the value of x is 62.
Reason: Median of n even observations is $\big(\frac{\text{(n)}}{2}\big)^\text{th}\text{term} + \big(\frac{\frac{\text{n}}{2+1}^\text{th}\text{term}}{2}\big)$
  1. Both Assertion and reason are correct and reason is correct explanation for Assertion.
  2. Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  3. Assertion is correct but reason is false.
  4. Both Assertions and reason are false.
→
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 equation of line parallel to y - axis is x = k.
Reason: The coordinate pair (x, y) is called as ordered pair.
  1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
  2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
  3. Assertion is true but the reason is false.
  4. Both assertion and reason are false.
→