Equations and Inequalities Test

Result

Equations and Inequalities Test - 45

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Weekly Quiz Competition

Question 1
4 / -1

The value of k for which 2x² – kx + x + 8 = 0, has equal and real roots are

A
–9 and –7

B
9 and 7

C
–9 and 7

D
9 and –7

Solution
Question 2
4 / -1

A
Complex

B
Real and distinct

C
Real and equal

D
None of these

Solution
Question 3
4 / -1

A

B

C

D

Solution
Question 4
4 / -1

All the value of m for which both roots of the equation x² – 2mx + m² – 1 = 0 are greater than –2 but less than 4, lie in the interval

A
–2 < m < 0

B
m > 3

C
–1 < m < 3

D
1 < m < 4

Solution
Question 5
4 / -1

Roots of the equations 2x² – 5x + 1 = 0, and x² + 5x + 2 = 0

A
Reciprocal and same sign

B
Reciprocal and of opposite signs

C
Equal in product

D
None of the above

Solution
Question 6
4 / -1

If a + b + c = 0, a ≠ 0, a, b, c ϵ Q, then both the roots of the equation ax² + bx + c = 0 are

A
Rational

B
Non real

C
Irrational

D
Zero

Solution
Question 7
4 / -1

The expression x² + 2bx + c has the positive value if

A

B

C

D

Solution
Question 8
4 / -1

A
a = 0

B
b = 0

C
c = 0

D
none of these

Solution
Question 9
4 / -1

A

B

C

D

Solution
Question 10
4 / -1

If the roots of equations x² + a² = 8x + 6a are real, then

A

B

C

D

Solution