1. Assertion : The value of y is 6, for which the distance between the points P(2,-3) and Q(10, y) is 10.
Reason: Distance between two given points A(X1,Y1) and B(Xz, y2) is given by AB = (x2 – xy)2 + (y2 – y.)2
o Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of (A)
Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of (A)
Assertion (A) is true but reason (R) is false
Assertion (A) is false but reason (R) is true,
Answers
Answer:
hope my answer will help you
Solution :-
we know that, distance between two given points A(X1,Y1) and B(X2, y2) is given by :-
- AB = √[(x2 – x1)² + (y2 – y1)²]
so, distance between P(2,-3) and Q(10, y) is 10 .
then,
→ 10 = √[(10 - 2)² + (y + 3)²]
squaring both sides,
→ 10² = 8² + (y + 3)²
→ 100 - 64 = (y + 3)²
→ 36 = (y + 3)²
→ (±6)² = (y + 3)²
→ y + 3 = ± 6
therefore,
→ y = 6 - 3 = 3 or,
→ y = - 6 - 3 = (-9)
so,
Assertion : The value of y is 6, for which the distance between the points P(2,-3) and Q(10, y) is 10.
- False .
Reason: Distance between two given points A(X1,Y1) and B(X2, y2) is given by AB = (x2 – x1)² + (y2 – y1)² .
- False .
Hence, Both assertion (A) and reason (R) are False .
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