Equations and Inequalities Test

Result

Equations and Inequalities Test - 68

Score
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Rank
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Weekly Quiz Competition

Question 1
4 / -1

If the roots of the equation qx² + px + q = 0 where p, q are real, be complex, then the roots of the equation x² – 4qx + p² = 0 are

A
Real and unequal

B
Real and equal

C
Imaginary

D
None of these

Solution
Question 2
4 / -1

A

B

C

D

Solution
Question 3
4 / -1

A

B

C

D

Solution
Question 4
4 / -1

The coefficient of x in the equation x² + px + q = 0 was taken as17 in place of 13, its roots were round to be –2 and –15, the rots of the original equation are

A
3, 10

B
–3, –10

C
–5, –18

D
None of these

Solution
Question 5
4 / -1

A

B

C

D

Solution
Question 6
4 / -1

A
b

B
–b

C

D

Solution
Question 7
4 / -1

A

B

C

D

Solution
Question 8
4 / -1

If both the roots of the quadratic equation x² – 2kx + k² + k – 5 = 0 are less than 5, hen k lies in the interval

A
(–∞, 4)

B
[4, 5]

C
(5, 6]

D
(6, ∞)

Solution
Question 9
4 / -1

If the roots of the equations x² – bx + c = 0 and x² – cx + b = 0 differ by the same quantity, then b + c is equal to

A
4

B
1

C
0

D
–4

Solution
Question 10
4 / -1

A

B

C

D
None of these

Solution