Test: Quadratic Equations- 3 - UPSC MCQ

# Test: Quadratic Equations- 3 - UPSC MCQ

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## 15 Questions MCQ Test CSAT Preparation - Test: Quadratic Equations- 3

Test: Quadratic Equations- 3 for UPSC 2024 is part of CSAT Preparation preparation. The Test: Quadratic Equations- 3 questions and answers have been prepared according to the UPSC exam syllabus.The Test: Quadratic Equations- 3 MCQs are made for UPSC 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Quadratic Equations- 3 below.
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Test: Quadratic Equations- 3 - Question 1

### If x = 2 is a root of the quadratic equation 3x2 – px – 2 = 0, then the value of ‘p’ is

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Test: Quadratic Equations- 3 - Question 2
Detailed Solution for Test: Quadratic Equations- 3 - Question 2

Here, the degree is 2, therefore it is a quadratic equation.

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Test: Quadratic Equations- 3 - Question 3

### If p = – 7 and q = 12 and x2+px+q=0, then the value of ‘x’ is

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Test: Quadratic Equations- 3 - Question 4

The roots of a quadratic equation x2−4px+4p2−q2=0 are

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Test: Quadratic Equations- 3 - Question 5

The two numbers whose sum is 27 and their product is 182 are

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Explanation:Let the one number be xx .As the sum  of numbers is 27 , then the other number will be (27−x)(27−x)                                                                                                                                    According to question

Test: Quadratic Equations- 3 - Question 6

The common root of 2x2+x−6 = 0 and x2−3x−10 = 0 is

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Test: Quadratic Equations- 3 - Question 7

In a cricket match Kumble took three wickets less than twice the number of wickets taken by Srinath. The product of the number of wickets taken by these two is 20, then the number of wickets taken by Kumble is

Detailed Solution for Test: Quadratic Equations- 3 - Question 7

Explanation:

Let the number of wickets taken by Srinath be x then the number of wickets taken by Kumble will be 2x−3
According to question, x(2x−3)=20

Test: Quadratic Equations- 3 - Question 8

(x2 + 1)2 - x2 = 0 has

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Test: Quadratic Equations- 3 - Question 9

If the sum and product of the roots of the equation kx2 + 6x + 4k = 0 are equal, then k =

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Test: Quadratic Equations- 3 - Question 10

The product of two successive integral multiples of 5 is 1050. Then the numbers are

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Explanation:

Let one multiple of 5 be x then the next consecutive multiple of will be (x+5) According to question,

Then the number are 30 and 35.

Test: Quadratic Equations- 3 - Question 11

The angry Arjun carried some arrows for fighting with Bheeshma. With half the arrows, he cut down the arrows thrown by Bheeshma on him and with six other arrows he killed the rath driver of Bheeshma. With one arrow each he knocked down respectively the rath, flag and bow of Bheeshma. Finally with one more than four times the square root of arrows he laid Bheeshma unconscious on an arrow bed. The total number of arrows that Arjun had is

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Test: Quadratic Equations- 3 - Question 12

Which of the following has no real root?

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Test: Quadratic Equations- 3 - Question 13

If 'sin α' and 'cos α' are the roots of thr equation ax2 + bx + c = 0, then b2 =

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Test: Quadratic Equations- 3 - Question 14

The constant that must be added and subtracted to solve the quadratic equation   by the method of completing the square is

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Test: Quadratic Equations- 3 - Question 15

Which of the following has two distinct roots?

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