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

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Question 1

Question MCQ▾

Sum of the roots of the equation x2 + 5x + 6 = 0 is

Choices

Choice (4)Response

a.

4

b.

-4

c.

5

d.

-5

Edit

Question 2

Question MCQ▾

If one root of 3x2 = 8x + (2k + 1) is seven times the other, then the value of k is

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 3

Question MCQ▾

If

Choices

Choice (4)Response

a.

b.

c.

d.

All of the above

Edit

Question 4

Question MCQ▾

If the roots of x2 -Ix + m = 0 differ by 1, then

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 5

Question MCQ▾

The roots of the equation are 1 and 2. The roots of the equation must be

Choices

Choice (4)Response

a.

b.

c.

d.

None of the above

Edit

Question 6

Question MCQ▾

If and are the roots of the equation , then is equal to

Choices

Choice (4)Response

a.

a 2 + a 4) 2

b.

c.

d.

Question does not provide sufficient data or is vague

Edit

Question 7

Question MCQ▾

If the zeroes of the polynomial are reciprocal of each other, then the value of k is

Choices

Choice (4)Response

a.

1

b.

-2

c.

-1

d.

2

Edit

Question 8

Question MCQ▾

If and are the roots of the equation , then an equation whose roots are and is

Choices

Choice (4)Response

a.

ax2- bx + c = 0

b.

bx2 + ax + c = 0

c.

cx2 + bx + a = 0

d.

cx2 + ax + b = 0

Edit

Question 9

Question MCQ▾

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.

b.

c.

d.

Edit