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Coordinate Geometry (2D & 3D)

Authored by Asit Saha.

Mathematics

University

Used 3+ times

Coordinate Geometry (2D & 3D)
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30 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Q1. If the equation ax2+2hxy+by2+2gx+2fy+c = 0

represents a pair of straight lines then...

(a) abc+2fgh-af2-bg2-ch2=0

(b)abc+fgh-af2-bg2-ch2=0

(c) 2abc+fgh-af2-bg2-ch2=0

(d) None of these

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Q2.Condition that the equation hxy+gx-fy+c = 0

represents a pair of straight lines is...

(a) ch=ah

(b) fh=cg

(c) ch=fg

(d) fg=-ch

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Q3.The length of the latus rectum

of the conic ... (l/r) = 1+e cos θ

(a) l

(b) 2l

(c) l/2

(d) None of these

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Q4.The polar equation

r = 2 /(3 cos θ + 4 sin θ)

represents ...

(a) A straight line

(b) A hyperbola

(c) A parabola

(d) An ellipse

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Q5.The co ordinates of the centre of the circle

r = a cos θ + b sin θ

are given by ...

(a) √(a2+b2) /2

& tan-1 (b/a)

(b) √(a2+b2) /2

& tan-1 (a/b)

(c) √(a2+b2)

& tan-1 (b/a)

(d) None of these

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Q6.The line (l/r) = A cos θ + B sin θ

will touch the conic (l/r) = 1+ e cos θ if...

(a) (A-e)2+B2=0

(b) (A-e)2+B2=1

(c) A2+(B-e)2=0

(d) None of these

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Q7.The equation of the normal at ( a cos Φ , b sin Φ)

to the ellipse (x2/a2)+(y2/b2) = 1 is...

(a) ax cos Φ +by sin Φ = a2+b2

(b) ax cos Φ - by sin Φ = a2- b2

(c) ax sec Φ - by cosec Φ = a2-b2

(d) ax sec Φ + by cosec Φ = a2+b2

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