Assertion (A): If the distance between the point (4, p) and (1, 0) is 5, then the value of p is 4.Reason (R): The point which divides the line segment joining the points (7, – 6) and (3, 4) in ratio 1 : 2 internally lies in the fourth quadrant.
Answers
Given : Assertion (A): If the distance between the point (4, p) and (1, 0) is 5, then the value of p is 4.
Reason (R): The point which divides the line segment joining the points (7, – 6) and (3, 4) in ratio 1 : 2 internally lies in the fourth quadrant.
To Find : Correct option
Solution:
Assertion (A): If the distance between the point (4, p) and (1, 0) is 5, then the value of p is 4.
=> ( 4 - 1)² + (p - 0)² = 5²
=> 3² + p² = 25
=> p² = 16
=> p = ±4
value of p is 4. is not always True
as p can be - 4 also
Hence Assertion is not Correct
Reason (R): The point which divides the line segment joining the points (7, – 6) and (3, 4) in ratio 1 : 2 internally lies in the fourth quadrant.
(1 * 3 + 2 * 7)/(1 + 2) , ( 1 * 4 + 2(-6))/(1 + 2)
= 17/3 , -8/3
Point lies in fourth Quadrant
Reason is Correct
Assertion is Incorrect and Reason is correct
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Answer:
Assertion is false but reason is true