Coordinate Geometry (KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 14 - 17 of 22

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Question number: 14

» Coordinate Geometry » Equation of a Circle

Appeared in Year: 2013

MCQ▾

Question

Two line segments Equation and Equation are constrained to move along the Equation and Equation axes, respectively, in such a way that the points Equation are on cyclic. If Equation and Equation , then the locus of the centre of the circle passing through Equation in polar coordinates is – (Model Paper)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 15

» Coordinate Geometry » Intercepts of a Line on Coordinate Axes

Appeared in Year: 2013

MCQ▾

Question

The area bounded by the curve Equation , the line joining Equation and Equation and the line joining Equation and Equation is – (Model Paper)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 16

» Coordinate Geometry » Equations of a Line

Appeared in Year: 2013

MCQ▾

Question

If Equation are positive real numbers such that the lines Equation and Equation are parallel, then the least possible value of Equation 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 Equation with vertices Equation and Equation . The line Equation intersect line QR and line PR at point M and point N, respectively, such that the area of triangle PQR is Equation of area of triangle MNR. Therefore value of Equation is – (Model Paper)

Choices

Choice (4) Response

a.

Equation

b.

4

c.

3

d.

Equation

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