KVPY Stream-SA (Class 11) Math: Questions 208 - 212 of 265

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Question number: 208

» Basic Mathematics » Algebra » Solutions to Equations

MCQ▾

Question

If a, b, c, d are positive real numbers such that, a2=a+b4=a+b+c6=a+b+c+d8 , then ba+3c+5d is –

Choices

Choice (4) Response

a.

9

b.

52

c.

25

d.

19

Question number: 209

» Three Dimensional Geometry » Distance Formula- Between Points, Lines & Shapes

MCQ▾

Question

If A=(2, 0),B=(0, 0)andC=(3, 0) are three points and satisfy the relations BD2+CD2=2AD2 , then the locus of the point S is –

Choices

Choice (4) Response

a.

Line parallel to y axis

b.

Circle with centre origin

c.

Circle passing through origin

d.

Line parallel to x-axis

Question number: 210

» Basic Mathematics » Arithmetic » Rates, Speeds and Unitary Method

MCQ▾

Question

A ladder 12 cm long is leading against a wall. The bottom of the ladder is pulled along the ground, away from the wall, at the rate of 3 cm/sec. How fast is its height on the wall decreasing when the foot of the ladder is 5 cm away from the wall?

Choices

Choice (4) Response

a.

1517cms

b.

15119cms

c.

1517cms

d.

15119cms

Question number: 211

» Trigonometry » Trigonometric Functions

MCQ▾

Question

If cosecθ+cotθ=m than cotθ=?

Choices

Choice (4) Response

a.

m21m

b.

m2+1m

c.

m1m

d.

m212m

Question number: 212

» Basic Mathematics » Geometry » Polygons With More Than 4 Sides

MCQ▾

Question

25 sphere of same size are made from melting a solid cylinder of 20 cm diameter and 9 cm height. The diameter of each sphere is:

Choices

Choice (4) Response

a.

3cm

b.

4cm

c.

2cm

d.

1cm

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