Basic Mathematics-Algebra (KVPY Stream-SA (Class 11) Math): Questions 1 - 6 of 17

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Question number: 1

» Basic Mathematics » Algebra » Solving Equations

Appeared in Year: 2009

MCQ▾

Question

The number of pairs of reals (x, y) such that x=x2+y2 and y=2xy is

Choices

Choice (4) Response

a.

4

b.

2

c.

3

d.

1

Question number: 2

» Basic Mathematics » Algebra » Solving Equations

Appeared in Year: 2010

MCQ▾

Question

A student notices that the roots of the equation x2+bx+a=0 are each 1 less than the roots of the equation x2+ax+b=0. Then a + b is,

Choices

Choice (4) Response

a.

– 2

b.

– 5

c.

Possibly any real number

d.

– 4

Question number: 3

» Basic Mathematics » Algebra » Solving Equations

MCQ▾

Question

If (x1x)=p , (x2+1x3)=q , then (x31x2) is –

Choices

Choice (4) Response

a.

p3p2+q3p2

b.

p3p22q3p+2

c.

p3+3p2q+2p+1

d.

p3p22q+3p+3

Question number: 4

» Basic Mathematics » Algebra » Solving Equations

MCQ▾

Question

Let p, q, r, s be real numbers such that p2+q2=64 , r2+s2=100 and pr+qs=80 . Then the set of all possible values of psqr is –

Choices

Choice (4) Response

a.

{0}

b.

[911,)

c.

[0,911]

d.

(0,711]

Question number: 5

» Basic Mathematics » Algebra » Solving Equations

MCQ▾

Question

Roots of equation:

x2x4+x6x8=x10x12+x14x16

Choices

Choice (4) Response

a.

10±3

b.

5±32

c.

5±3

d.

10±23

Question number: 6

» Basic Mathematics » Algebra » Solving Equations

MCQ▾

Question

Let a, b, c, d be real numbers such that a2+b2=144 , c2+d2=169 and ac+bd=156 . Then the set of all possible values of adbc is –

Choices

Choice (4) Response

a.

[0,317]

b.

{0}

c.

[715,)

d.

(0,912]

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