Assertion (A): C is the mid-point of PQ, if P is (4,x), C is (y, -1) and Q is (-2,4), then x and y respectively are -6 and 1. Reason (R): The mid-point of the line segment joining the points P(x1, y1) and Q(x2, y2) (x1+x2/2,y1+y2/2)
Answers
Given: Assertion (A): C is the mid-point of PQ, if P is (4,x), C is (y, -1) and Q is (-2,4), then x and y respectively are -6 and 1.
Reason (R): The mid-point of the line segment joining the points P(x1, y1) and Q(x2, y2) (x1+x2/2,y1+y2/2)
To Find: Correct option
Solution:
Assertion (A): C is the mid-point of PQ, if P is (4,x), C is (y, -1) and Q is (-2,4), then x and y respectively are -6 and 1.
C is the mid-point of PQ
=> y = ( 4 - 2) /2 , - 1 = ( x + 4)/2
=> y = 1 , x = - 6
x and y respectively are -6 and 1.
Hence Assertion is correct
Reason (R): The mid-point of the line segment joining the points P(x1, y1) and Q(x2, y2) is (x1+x2/2,y1+y2/2)
Yes , Reason is true and correct explanation for Assertion
Assertion (A) and Reason (R) both are correct and reason is the correct Explanation of assertion
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