Mathematics-Arithmetic Progessions (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 1 - 3 of 3

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Question number: 1

» Mathematics » Arithmetic Progessions

MCQ▾

Question

The equation (1 + m 2) x 2 + 2 mcx + c 2 - a 2 = 0 has equal roots, if

Choices

Choice (4) Response

a.

a 2=c 2 (1 + m 2)

b.

a 2=c 20-m 2)

c.

c 2 = a 2 (1 + m 2)

d.

c 2 = a 2 (1 - m 2)

Question number: 2

» Mathematics » Arithmetic Progessions

MCQ▾

Question

For what value of k, the following system of equations 3x + 4y = 6 and 6x + 8y = k represent coincident lines?

Choices

Choice (4) Response

a.

11

b.

10

c.

13

d.

12

Question number: 3

» Mathematics » Arithmetic Progessions

MCQ▾

Question

If x + 1x = 5 , then the value of x3 + 1x3 is

Choices

Choice (4) Response

a.

7 5

b.

5 5

c.

2 5

d.

8 5

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