In the given figure (not to scale), two circles `C_1 and C_2` intersect at S and Q. PQN and RQM are tangents drawn to `C_1 and C_2` respectively at Q. `MAB` and ABN are the chords of the circles `C_1 and C_2`. If `angle NQR =85^@`, then find `angle AQB`.

In the following figure, (not a scale), AB is the common tangent to the circles C_1 and C_2 and C_1 and C-2 are touching externally at C. AD and DC are two chords of the circle, C_1and BE and CE are two chords of the circle C_2 . Find the measure of angle ADC+ angle BEC .

Two circles with centres P and Q intersect at B and C, A, D are points on the circles with centres P and Q respectively such that A, C, D are colliner. If angle APB = 130^(@), and angle BQD = x^(@) , then the value of x is :

AB is the common tangent to the circles C_(1) and C_(2).C_(1) and C_(2) are touching externally at C.AD and DC are two chords of the circle C_(1) and BE and CE are two chords of the circle C_(2) Find the measure of /_ADC+/_BEC

Two circles C_1 and C_2 intersect at two distinct points P and Q in a line passing through P meets circles C_1 and C_2 at A and B , respectively. Let Y be the midpoint of A B and Q Y meets circles C_1 and C_2 at X a n d Z respectively. Then prove that Y is the midpoint of X Z

Two circles C_1 and C_2 intersect at two distinct points P and Q in a line passing through P meets circles C_1 and C_2 at A and B , respectively. Let Y be the midpoint of A B and Q Y meets circles C_1 and C_2 at X a n d Z respectively. Then prove that Y is the midpoint of X Z

In the given figure, two circles touch each other externally at the point C. Prove that the common tangent to the circle at C bisects the common tangents at P and Q.

The internal common tangents to two circles with centre C_1 and C_2 intersect the line joining C_1 and C_2 at P and the two direct common tangents intersects the line joining C_1 and C_2 at Q. The length C_1P , C_1C_2 and C_1 Q are in

The internal common tangents to two circles with centre C_1 and C_2 intersect the line joining C_1 and C_2 at P and the two direct common tangents intersects the line joining C_1 and C_2 at Q. The length C_1P , C_1C_2 are C_1 Q are in

In the arrangement shown in figure dielectric constant K_1=2 and K_2=3 . If the capacitance across P and Q are C_1 and C_2 respectively, then C_1//C_2 wil be (the gaps shown are negligible)

In the arrangement shown in figure dielectric constant K_1=2 and K_2=3 . If the capacitance across P and Q are C_1 and C_2 respectively, then C_1//C_2 wil be (the gaps shown are negligible)