CUET-PG SERIES Mathematics
Quadratic Equations
3 previous year questions.
Volume: 3 Ques
Yield: Medium
High-Yield Trend
3
2023 Chapter Questions 3 MCQs
01
PYQ 2023
medium
mathematics ID: cuet-pg-
Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R):
Assertion (A): If the equation x2+ px+q=0 has rational roots and p and q are integers, then the roots are integers.
Reasons (R): A quadratic equation has rational roots if and only if its discriminant is a perfect square of a rational number.
In the light of the above Statements, choose the most appropriate answer from the options given below :
Assertion (A): If the equation x2+ px+q=0 has rational roots and p and q are integers, then the roots are integers.
Reasons (R): A quadratic equation has rational roots if and only if its discriminant is a perfect square of a rational number.
In the light of the above Statements, choose the most appropriate answer from the options given below :
1
Both (A) and (R) are correct and (R) is the correct explanation of (A)
2
Both (A) and (R) are correct but (R) is NOT the correct explanation of (A)
3
(A) is correct but (R) is not correct
4
(A) is not correct but (R) is correct
02
PYQ 2023
medium
mathematics ID: cuet-pg-
Given below are two statements :
Statement I: If the roots of the quadratic equation are real, then the least value of a is 1/81.
Statement II: The harmonic mean of the roots of the equation is 2.
In the light of the above statements, choose the correct answer from the options given below:
Statement I: If the roots of the quadratic equation are real, then the least value of a is 1/81.
Statement II: The harmonic mean of the roots of the equation is 2.
In the light of the above statements, choose the correct answer from the options given below:
1
Both Statement I and Statement II are true
2
Both Statement I and Statement II are false
3
Statement I is true but Statement II is false
4
Statement I is false but Statement II is true
03
PYQ 2023
medium
mathematics ID: cuet-pg-
Values of for which the quadratic equation has equal roots are:
1
45508
2
0, 4
3
45386
4
0, 8