Question

DIAMOND PACKAGE
One or more than one correct answer type questions :
11. If O'is centre of circle and polar of the point 'P' with respect to circle meets OP is Q, then whi
the following statement is correct.
a) The polar of 'P' is perpendicular to OQ b) OP. OQ =r square
c) OP = OQ
d) OQ = r​

Answer 1

Answer:

POLE AND POLAR OF A CIRCLE - DEFINITION

Let P be any point inside or outside the circle. Draw any chord AB and A'B' passing through P. If tangents to the circle at A and B meet at Q, then locus of Q is called the polar of P with respect to circle and P is called the pole and if tangents to the circle at A' and B' meet at Q', then the straight line QQ' is polar with P as its pole.

PROPERTIES OF POLE AND POLAR - LAW

1. If the polar of P w.r.t a circle passes through Q then the polar of Q will pass through P and such points are said to be conjugate points.

2.If the pole of the line L

1

w.r.t a circle lies on another line L

2

; then the pole of the second line will lie on the first line and such lines are said to be conjugate lines.

3. The distance of any two points P and Q from the centre of a circle and proportional to the distance of each from the polar of the other.

PROPERTIES OF POLE AND POLAR - LAW

4. If O be the centre of a circle and P any point, then OP is perpendicular to the polar of P.

5. If O be the centre of a circle and P any point, then if OP (produced if necessary) meet the polar of P in Q, then OP.OQ=radius

2

Answer 2

Answer:

The answer is A,B

it is the correct answer in diamond package 11th bit