KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math: Questions 95 - 98 of 155

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Question number: 95

» Coordinate Geometry » Cartesian System of Rectangular Coordinates in Plane

Appeared in Year: 2014

MCQ▾

Question

Let b,d>0 . The locus of all points P(r,θ) for which the line OP (where O is origin) cuts the line rsinθ=b in Q such that PQ=d is –

Choices

Choice (4) Response
a.

(rd)cosθ=b

b.

(rd)sinθ=b

c.

(r±d)cosθ=b

d.

(r±d)sinθ=b

Question number: 96

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2013

MCQ▾

Question

The number of integer n with 100n999 and containing at most two distinct digits is – (Model Paper)

Choices

Choice (4) Response
a.

324

b.

252

c.

280

d.

360

Question number: 97

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

Appeared in Year: 2013

MCQ▾

Question

Let P be a closed polygon with 10 sides and 10 vertices (assume that the sides do not intersect except at the vertices). Let k be the number of interior angles of P that are greater than 1800 . The maximum possible value of k is – (Model Paper)

Choices

Choice (4) Response
a.

9

b.

3

c.

7

d.

5

Question number: 98

» Coordinate Geometry » Equation of a Circle

Appeared in Year: 2013

MCQ▾

Question

Two line segments AB and CD are constrained to move along the x and y axes, respectively, in such a way that the points A,B,C,D are on cyclic. If AB=a and CD=b , then the locus of the centre of the circle passing through A,B,C,D in polar coordinates is – (Model Paper)

Choices

Choice (4) Response
a.

r2=a2+b24

b.

r2=4(a2+b2)

c.

r2cos2θ=a2b24

d.

r2cos2θ=4(a2b2)

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