Q.

If the point (2a – 5 , a2) is on the same side of the x + y – 3=0 as that of the origin, then the set of values of ‘ a’ is

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a

(-4 , 2)

b

(-2 , 4)

c

(1 , -2)

d

(2 , -3)

answer is A.

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Detailed Solution

Since given the points are on the same side of the line, let (x  , y) = x + y – 3. According to the required condition.  L(2a−5,a2) and  L(0 , 0) must be of the same sign.                            Thus −3(2a−5+a2−3)>0⇒a2+2a−8<0                                                                                                        ⇒−4
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