Suppose `Q` is a point on the circle with centre P and radius 1, as shown in the figure: R is a point outside the circle such that QR=1 and `/_QRP=2^@`. Let S be the point where the segment RP intersects the given circle. Then measurement of `/_RQS` equals

Suppose Q is a point on the circle with center P and radius 1, as shown in the figure , R is a point outside the circle such that QR=1andangleQRP=2^(@) . Let S be the point where the segment RP intersects the given circle. Then measure of angleRQS equals-

Draw a circle of radius 2 cm with centre O and take a point P outside the circle such that OP = 4.5 cm. From P, draw two tangents to the circle. Given below are the steps of constructing the tangents from P. Find which of the following steps is wrong. Step 1: Draw a circle with O as centre and radius 2 cm. Step 2: Mark a point P outside the circle such that OP = 4.5 cm. Step 3: Join OP and bisect it at M. Step 4: Draw a circle with P as centre and radius = MP to intersect the given circle .at the points R and Q. Step 5: Join PR and PQ.

Line segment joining the centre to any point on the circle is a radius of the circle

Draw a circle with centre O and radius 4 cm . Take a point P outside the circle at a distance of 7 cm from its centre. Draw two tangents to the circle from the point P.

P is a point outside a circle with centre O, and it is 14 cm away from the centre. A secant PAB drawn from P intersects the circle at the points A and B such that PA = 10 cm and PB = 16 cm. The diameter of the Circle is:

Circles with centres P and Q intersects at points A and B as shown in the figure. CBD is a line segment and EBM is tangent to the circle, with centre Q, at point B. If the circles are congruent, show that : CE = BD.

P is any point on diameter of a circle with centre O.A perpendicular drawn on diameter at the point O intersects the point O intersects the circle at the point Q. Extended QP intersects the circle at the point R.A tangent drawn at the point R intersects extended OP at the point S. Prove theat SP=SR. [GP-X]

In the figure, PQL and PRM are tangents to the circle with centre O at the points Q and R respectively and S is a point on the circle such that |__SQL=50^(@) and |__SRM=60^(@) . Find |__QSR .

Two circles intersect at two points P and S.QR is a tangent to the two circles at Q and R. If /_QSR=72^(@), then /_QPR=.