Mathematics-Quadratic Equations (NTSE Stage-2 (National-Level) Scholastic-Aptitude & Language Comprehension): Questions 1 - 7 of 7

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Question number: 1

» Mathematics » Quadratic Equations

Appeared in Year: 2013

MCQ▾

Question

ax2+bx+c=0 , where a, b, c are real, has real roots if

Choices

Choice (4) Response

a.

a b c are integers

b.

ac > 0 and b is zero

c.

b2>3ac

d.

None of the above

Question number: 2

» Mathematics » Quadratic Equations

MCQ▾

Question

The remainder when 12x313x25x+9 is divided by (3x+2) is

Choices

Choice (4) Response

a.

3

b.

2

c.

4

d.

1

Question number: 3

» Mathematics » Quadratic Equations

MCQ▾

Question

Sum of roots is -1 and sum of their reciprocal is 16 , then equation is

Choices

Choice (4) Response

a.

x2 + x - 6 = 0

b.

x2 - 6x + 1 = 0

c.

6x2 + x + 1 = 0

d.

x2 - x + 6 = 0

Question number: 4

» Mathematics » Quadratic Equations

MCQ▾

Question

For what values of fc, the equation x2+2(fc4)x+2k=0 has equal roots?

Choices

Choice (4) Response

a.

2 and 12

b.

6 and 4

c.

8 and 2

d.

10 and 4

Question number: 5

» Mathematics » Quadratic Equations

MCQ▾

Question

If x=5,y=3andz=2 , then the value of x2+y2+z22xy+2yz2zx is equal to

Choices

Choice (4) Response

a.

125

b.

10

c.

0

d.

25

Question number: 6

» Mathematics » Quadratic Equations

MCQ▾

Question

What is the remainder when (4x33x2+2x1) is divided by (x+2) ?

Choices

Choice (4) Response

a.

49

b.

48

c.

-49

d.

-48

Question number: 7

» Mathematics » Quadratic Equations

MCQ▾

Question

If a and b are the roots of the equation x25x+6=0 , then the value of (a2b2 ) is equal to

Choices

Choice (4) Response

a.

±5

b.

-5

c.

5

d.

All of the above

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