Mathematics-Quadratic Equations (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 9 - 12 of 12

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Question number: 9

» Mathematics » Quadratic Equations

MCQ▾

Question

A solid is hemispherical at the bottom and conical above. If the surface areas of the two parts are equal, then the ratio of its radius and the height of its conical part is

Choices

Choice (4) Response

a.

1:3

b.

1: sqrt (3)

c.

1:1

d.

None of the above

Question number: 10

» Mathematics » Quadratic Equations

MCQ▾

Question

If p and q are the roots of the equation x2(1+a2)x+(1+a2+a4)=0 , then α2+β2 is equal to

Choices

Choice (4) Response

a.

a4+a2

b.

a 2 + a 4) 2

c.

(a4+1)

d.

All of the above

Question number: 11

» Mathematics » Quadratic Equations

MCQ▾

Question

If the zeroes of the polynomial f(x)=k2x217x+k+2,k>0 are reciprocal of each other, then the value of k is

Choices

Choice (4) Response

a.

-1

b.

1

c.

2

d.

-2

Question number: 12

» Mathematics » Quadratic Equations

MCQ▾

Question

If a and p are the roots of the equation ax2+bx+c=0 , then an equation whose roots are 1α and 1β is

Choices

Choice (4) Response

a.

ax2- bx + c = 0

b.

cx2+ ax + b = 0

c.

bx2 + ax + c = 0

d.

cx2+ bx + a = 0

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