A line segment (bar)AB is of length 10 units and A = (2, 3). If the a

1.	A line segment (bar)AB is of length 10 units and A = (2, 3). If the abscissa of B is 10, then there will be two values for the coordinate of B whose sum is equal to (A) 3 (B) –3(C) 6(D) –6
Answer» Correct option (d) -6 Explanation : Suppose B = (10, y). Then AB = 10 ⇒ (10 – 2)² + (y + 3)² 10² ⇒ (y + 3)² + 36 ⇒ y = 3 = ±6 ⇒ y = 3 or -9 Therefore, the sum of the values of y = 3 - 9 = -6.

A line segment (bar)AB is of length 10 units and A = (2, 3). If the abscissa of B is 10, then there will be two values for the coordinate of B whose sum is equal to (A) 3 (B) –3(C) 6(D) –6

Answer»

Correct option (d) -6

Explanation :

Suppose B = (10, y). Then

AB = 10 ⇒ (10 – 2)² + (y + 3)² 10²

⇒ (y + 3)² + 36

⇒ y = 3 = ±6

⇒ y = 3 or -9

Therefore, the sum of the values of y = 3 - 9 = -6.

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A line segment (bar)AB is of length 10 units and A = (2, 3). If the abscissa of B is 10, then there will be two values for the coordinate of B whose sum is equal to (A) 3 (B) –3(C) 6(D) –6

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