Match the column: Four points A, B, C and D lie in the order on the parabola y = ax 2 + bx + c and the coordinates of A, B and D are known A(–2, 3); B(–1, 1); D(2, 7). On the basis of above information match the following Column-IColumn-II(i) The value of a + b + c =[A]-1(ii) If roots of the equation ax2 + bx + c = 0 are α & β then α19 + β7 =[B]8(iii) Least value of(a + 2)x2 + is Equal to[C]3(iv) If area of quadrilateral ABCD is greatest and co-ordinates of C are (p, q) then 2p + 4q =[D]10

Match the column: Four points A, B, C and D lie in the orde…

Maths Differentiation and Applications of Derivatives General Matrix Match Questions

Published on: August 13, 2026

Match the column:

Four points A, B, C and D lie in the order on the parabola y = ax 2 + bx + c and the coordinates of A, B and D are known

A(–2, 3); B(–1, 1); D(2, 7). On the basis of above information match the following

Column-I	Column-II
(i) The value of a + b + c =	[A]-1
(ii) If roots of the equation ax2 + bx + c = 0 are α & β then α19 + β7 =	[B]8
(iii) Least value of(a + 2)x2 + is Equal to	[C]3
(iv) If area of quadrilateral ABCD is greatest and co- ordinates of C are (p, q) then 2p + 4q =	[D]10

Correct Matrix Matching

Verified by Experts

The correct answer is:

(i) [C]; (ii) [A]; (iii) [D]; (iv) [B]

Ans.

(i) [C]

(ii) [A]

(iii) [D]

(iv) [B]

Sol.

(i) 3

(ii) -1

(iii) 10

(iv)8

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