Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Determinants

Question:

Match List - I with List - II.

 List – I
 Equation of curves

 List – II
  Slope of tangent at x = 2 

 (A)

 $y=x^3-x$

(I)

 8

 (B) 

 $y=(x-2)^2$

(II)

 $\frac{2}{3}$

 (C)

 $y=2 x^2+3$

(III)

 11

 (D)

 $y=\sqrt{4 x+1}-7$ 

(IV)

 0

Choose the correct answer from the options given below :

Options:

(A)-(II), (B)-(I), (C)-(IV), (D)-(III)

(A)-(I), (B)-(II), (C)-(IV), (D)-(III)

(A)-(III), (B)-(IV), (C)-(I), (D)-(II)

(A)-(III), (B)-(IV), (C)-(II), (D)-(I)

Correct Answer:

(A)-(III), (B)-(IV), (C)-(I), (D)-(II)

Explanation:
   Equation of curves  their derivatives   Slope at x = 2 
 A   $y=x^3-x$  $y'=3x^2-1$  11
 B  $y=(x-2)^2$  $y'=2(x-2)$  0
 C  $y = 2x^2+3$  $y'=4x$  8
 D  $y = \sqrt{4x+1}-7$   $y'=\frac{1}{2}×\frac{4}{\sqrt{4x+1}}$   $\frac{2}{3}$