Class 10 Mathematics – Algebra
50 Diverse & Difficult MCQs (Board Exam
Oriented)
1. Number of zeroes of polynomial represented by a parabola
touching x-axis at one point is:
()0
()1
()2
( ) Infinite
Answer: 1
2. If p(x)=ax³+3x²−ax−1 and p(1)=0, value of a is:
( ) -1
()1
()2
( ) -2
Answer: 1
3. Remainder when 2x³+3x²−5x+6 divided by x+1:
()0
()2
()4
( ) -4
Answer: 4
4. If roots of x²+7x+10=0 are α,β then α²+β² =
, ( ) 29
()9
( ) 39
( ) 49
Answer: 29
5. For what value of k, equation x²+kx+4=0 has real roots?
( ) k²≥16
( ) k²≤16
( ) k=4
( ) k=−4
Answer: k²≥16
6. Nature of roots of 4x²−4x+1=0:
( ) Distinct
( ) Equal
( ) Imaginary
( ) Irrational
Answer: Equal
7. If sum of roots is 0 and product is −9, equation is:
( ) x²−9=0
( ) x²+9=0
( ) x²−9x=0
( ) x²+9x=0
Answer: x²−9=0
8. Find 20th term of AP: 3,7,11,...
( ) 79
50 Diverse & Difficult MCQs (Board Exam
Oriented)
1. Number of zeroes of polynomial represented by a parabola
touching x-axis at one point is:
()0
()1
()2
( ) Infinite
Answer: 1
2. If p(x)=ax³+3x²−ax−1 and p(1)=0, value of a is:
( ) -1
()1
()2
( ) -2
Answer: 1
3. Remainder when 2x³+3x²−5x+6 divided by x+1:
()0
()2
()4
( ) -4
Answer: 4
4. If roots of x²+7x+10=0 are α,β then α²+β² =
, ( ) 29
()9
( ) 39
( ) 49
Answer: 29
5. For what value of k, equation x²+kx+4=0 has real roots?
( ) k²≥16
( ) k²≤16
( ) k=4
( ) k=−4
Answer: k²≥16
6. Nature of roots of 4x²−4x+1=0:
( ) Distinct
( ) Equal
( ) Imaginary
( ) Irrational
Answer: Equal
7. If sum of roots is 0 and product is −9, equation is:
( ) x²−9=0
( ) x²+9=0
( ) x²−9x=0
( ) x²+9x=0
Answer: x²−9=0
8. Find 20th term of AP: 3,7,11,...
( ) 79
