Q9 of 48 Page 102

If the distance between the points (3, a) and (4, 1) be then the value of a will be:

Using the distance formula, the distance between the points (3, a) and (4, 1)


√10 =


=


=


=


Squaring both sides, we get


a2 – 2a +2 = 10


⇒ a2 – 2a – 8 = 0


⇒ a2 – 4a + 2a – 8 = 0


⇒ a (a – 4)+ 2 (a – 4) = 0


⇒ (a – 4) (a + 2) = 0


∴ Either a = 4 or a = –2.


∴ The correct option is C.

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