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Q.

Given the continuous function
y=f(x)={x2+10x+8                x2ax2+bx+c            2<x<0x2+2x                            x0     a0 
Line L touches the graph of  y=f(x) at 3 points.
There are some expression given in the List–I whose values are given in List–II below: 

         List–I List–II
(I)Slope of line L is(P)2
(II)The value of a + b + c is(Q)3
(III)The value of a2+bc(R)4
(IV)The value of a×bc is(S)5
  (T)6
  (U)7

Which of the following is only incorrect combination.

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a

(I)(R)

b

(III)(Q)

c

(III)(U)

d

(IV)(T)

answer is B.

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Detailed Solution

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Equation of tangent is  y=4x1
 a=1,b=6,c=0
Correct combinations are (I, R), (II,U), (III, U), (IV, T)

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