Assertion (A): The value of y is 3, if the distance between the points P(2, -3) and Q(10, y) is 10.

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Q.
Assertion (A): The value of y is 3, if the distance between the points P(2, -3) and Q(10, y) is 10.

Reason (R): Distance between two points is given by $\sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

Solution

Q.
Assertion (A): The value of y is 3, if the distance between the points P(2, -3) and Q(10, y) is 10.

Reason (R): Distance between two points is given by $\sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

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

2 Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of Assertion (A)

3 Assertion (A) is true but reason (R) is false.

4 Assertion (A) is false but reason (R) is true.

Ans.
(1)

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

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Solution

Q. Assertion (A): The value of y is 3, if the distance between the points P(2, -3) and Q(10, y) is 10. Reason (R): Distance between two points is given by (x2-x1)2+(y2-y1)2

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

2 Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of Assertion (A)

3 Assertion (A) is true but reason (R) is false.

4 Assertion (A) is false but reason (R) is true.

Ans. (1) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)

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Q.
Assertion (A): The value of y is 3, if the distance between the points P(2, -3) and Q(10, y) is 10.

Reason (R): Distance between two points is given by $\sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

Ans.
(1)

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