Coordinate Geometry (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 14 - 17 of 20

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Question number: 14

» 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)

Question number: 15

» Coordinate Geometry » Intercepts of a Line on Coordinate Axes

Appeared in Year: 2013

MCQ▾

Question

The area bounded by the curve y=cosx , the line joining (π4,cos(π4)) and (0, 2) and the line joining (π4,cos(π4)) and (0, 2) is – (Model Paper)

Choices

Choice (4) Response

a.

(4+28)π+2

b.

(4+24)π2

c.

(4+24)π+2

d.

(4+28)π2

Question number: 16

» Coordinate Geometry » Equations of a Line

Appeared in Year: 2013

MCQ▾

Question

If a,b are positive real numbers such that the lines ax+9y=5 and 4x+by=3 are parallel, then the least possible value of a+b is – (Model Paper)

Choices

Choice (4) Response

a.

6

b.

13

c.

12

d.

8

Question number: 17

» Coordinate Geometry » Distance Formula

Appeared in Year: 2013

MCQ▾

Question

Consider a triangle PQR in the XYplane with vertices P=(0, 0),Q=(2, 3) and R=(8, 3) . The line l=a intersect line QR and line PR at point M and point N, respectively, such that the area of triangle PQR is 3times of area of triangle MNR. Therefore value of a is – (Model Paper)

Choices

Choice (4) Response

a.

473

b.

4

c.

3

d.

23

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