Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

Match List – I with List – II.

List – I

List – II

A. x2 – 4x + 4 = 0

I. $x=\frac{7}{2}$

B. 2x – 7 = 0

II. Quadratic equation

C. $\frac{1}{x^2}-1=0$ 

III. x = 2 and -2

D. 4x2 + 4x + 1 = 0

IV. x = ±1

Choose the correct answer from the options given below:

Options:

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

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

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

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

Correct Answer:

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

Explanation:

A ⇒  x2 – 4x + 4 = 0

       x2 – 2x – 2x + 4 = 0

       x(x – 2) – 2(x - 2) = 0

       x = 2 and -2               .......(III)

B ⇒  2x - 7 = 0

        x = \(\frac{7}{2}\)  .........(I)

C ⇒  $\frac{1}{x^2}-1=0$

       $\frac{1}{x^2} = 1$

       1 = x2

        x = ±1              ........(IV)

D ⇒ -4x2 + 4x + 1 = 0 ⇒ Quadratic Equation.........(II)

Therefore, correct answer is

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