Quadratic & Other Test 3

Welcome to your Quadratic & Other Test 3

Question No.1

The least value of 7^x + 7^-x is _____.

A. 2

B. 50/7

C. 14

D. 4

E. None of these.

Question No.2

If the equation 9x² + 6kx + 4 = 0 has equal roots, then the value of k must be?

A. Zero.

B. Either 2 or zero.

C. Either 2 or zero

D. Either 2 or – 2

E. None of these

Question No.3

Construct a quadratic equation, whose roots are half of the roots of the equation x² + 5x + 9 = 0.

A. 4x² + 10x + 9 = 0

B. x² + 10x + 36 = 0

C. 4x²+ 5x + 36 = 0

D. 4x² + 5x + 9 = 0

E. None of these

Question No.4

A and B are the roots of the equation x² + bx + c = 0. A² + B² = 5 and (A + B)² = 1.

What is the value of c?

A. 2

B. -2

C. 1

D. 5

E. None of these

Question No.5

The equation x² + 4x + k = 0 has real roots. Then.

A. k > 4

B. k < 4

C. k < 0

D. k > 0

E. None of these

Question No.6

Twice of the square of the number is 17 more than the square of two more then the number. Find the sum of the digits of the original number.

A. 4

B. 5

C. 6

D. 7

E. 8

Question No.7

If x be real. Find the maximum value of 14+ 20x - 10x².

A. 48

B. 12

C. 36

D. 24

E. None of these

Question No.8

Mr. David is on tour and he has Rs. 360 for his expenses if he exceeds his tour by 4 days, he must cut down his daily expenses by Rs.3 for how many days is Mr. David out on tour?

A. 40

B. 20

C. 60

D. 15

E. None of these

Question No.9

A and B attempt to solve a quadratic equation of the form ax² + bx + c = 0. A starts with a wrong value of b and gets roots as -3 and -5. B starts with a wrong value of c and gets the roots as 6 and 2. Find the correct roots.

A. 3, 4

B. 3, 5

C. 4, 6

D. 2, 3

E. None of these

Question No.10

If 3x² + 10x + 8x = 0 has it roots α and β. Find the quadratic equation with roots 1/α and 1/β.

A. 8x² + 10x + 3 = 0

B. 4x² + 6x + 3 = 0

C. 3x² + 8x + 10 = 0

D. 2x² + 8x + 10 = 0

E. None of these

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