Class 10 Exam > Class 10 Tests > Practice Test: Quadratic Equations - Class 10 MCQ

Test Description

Practice Test: Quadratic Equations for Class 10 2024 is part of Class 10 preparation. The Practice Test: Quadratic Equations questions and answers have been prepared
according to the Class 10 exam syllabus.The Practice Test: Quadratic Equations MCQs are made for Class 10 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Practice Test: Quadratic Equations below.

Solutions of Practice Test: Quadratic Equations questions in English are available as part of our course for Class 10 & Practice Test: Quadratic Equations solutions in
Hindi for Class 10 course.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free. Attempt Practice Test: Quadratic Equations | 25 questions in 25 minutes | Mock test for Class 10 preparation | Free important questions MCQ to study for Class 10 Exam | Download free PDF with solutions

Practice Test: Quadratic Equations - Question 1

Which of the following quadratic expression can be expressed as a product of real linear factors?

Detailed Solution for Practice Test: Quadratic Equations - Question 1

Practice Test: Quadratic Equations - Question 2

Two candidates attempt to solve a quadratic equation of the form x^{2} + px + q = 0. One starts with a wrong value of p and finds the roots to be 2 and 6. The other starts with a wrong value of q and finds the roots to be 2 and – 9. Find the correct roots of the equation :

1 Crore+ students have signed up on EduRev. Have you? Download the App |

Detailed Solution for Practice Test: Quadratic Equations - Question 3

Detailed Solution for Practice Test: Quadratic Equations - Question 4

Practice Test: Quadratic Equations - Question 6

Determine k such that the quadratic equation x^{2} + 7(3 + 2k) – 2x (1 + 3k) = 0 has equal roots :

Practice Test: Quadratic Equations - Question 7

Discriminant of the equation – 3x^{2} + 2x – 8 = 0 is

Detailed Solution for Practice Test: Quadratic Equations - Question 7

Practice Test: Quadratic Equations - Question 8

The nature of the roots of the equation x^{2} – 5x + 7 = 0 is –

Detailed Solution for Practice Test: Quadratic Equations - Question 8

Practice Test: Quadratic Equations - Question 9

The roots of a^{2}x^{2} + abx = b^{2}, a = 0 are :

Practice Test: Quadratic Equations - Question 10

The equation x^{2} – px + q = 0 p, q ε R has no real roots if :

Practice Test: Quadratic Equations - Question 11

Determine the value of k for which the quadratic equation 4x^{2} – 3kx + 1 = 0 has equal roots :

Practice Test: Quadratic Equations - Question 12

Find the value of k such that the sum of the squares of the roots of the quadratic equation x^{2} – 8x + k = 0 is 40:

Practice Test: Quadratic Equations - Question 13

Find the value of p for which the quadratic equation x^{2} + p(4x + p – 1) + 2 = 0 has equal roots :

Practice Test: Quadratic Equations - Question 14

The length of a hypotenuse of a right triangle exceeds the length of its base by 2 cm and exceeds twice the length of the altitude by 1 cm. Find the length of each side of the triangle (in cm) :

Detailed Solution for Practice Test: Quadratic Equations - Question 14

Practice Test: Quadratic Equations - Question 15

A two digit number is such that the product of it's digits is 12. When 9 is added to the number, the digits interchange their places, find the number :

Practice Test: Quadratic Equations - Question 16

A plane left 40 minutes late due to bad weather and in order to reach it's destination, 1600 km away in time,it had to increase it's speed by 400 km/h from it's usual speed. Find the usual speed of the plane :

Practice Test: Quadratic Equations - Question 17

The sum of the squares of two consecutive positive odd numbers is 290. Find the sum of the numbers :

Detailed Solution for Practice Test: Quadratic Equations - Question 17

Practice Test: Quadratic Equations - Question 18

A shopkeeper buys a number of books for Rs. 80. If he had bought 4 more for the same amount, each book would have cost Re. 1 less. How many books did he buy?

Practice Test: Quadratic Equations - Question 19

Two squares have sides x cm and (x + 4) cm. The sum of their areas is 656 cm^{2}. Find the sides of the square.

Practice Test: Quadratic Equations - Question 20

The real values of a for which the quadratic equation 2x^{2} – (a^{3} + 8a – 1) x + a^{2} – 4a = 0 possesses roots of opposite signs are given by :

Practice Test: Quadratic Equations - Question 21

The number of real solutions of the equation is :

Practice Test: Quadratic Equations - Question 22

If the equation (3x)^{2} + (27 × 3^{1/k }– 15) x + 4 = 0 has equal roots, then k =

Practice Test: Quadratic Equations - Question 24

Equation ax^{2} + 2x + 1 has one double root if :

Practice Test: Quadratic Equations - Question 25

Solve for x : (x + 2) (x – 5) (x – 6) (x + 1) = 144 :

Information about Practice Test: Quadratic Equations Page

In this test you can find the Exam questions for Practice Test: Quadratic Equations solved & explained in the simplest way possible.
Besides giving Questions and answers for Practice Test: Quadratic Equations, EduRev gives you an ample number of Online tests for practice

Download as PDF