C1 and C2 are two concentric circles, the radius of C2 being twice that of C1. From a point P on C2, tangents PA and PB are drawn to C1. Then the centroid of the triangle PAB (a) lies on C1 (b) lies outside C1 (c) lies inside C1 (d) may lie inside or outside C1 but never on C1

C_1 and C_2 are two concentric circles, the radius of C_2 being twice that of C_1 . From a point P on C_2 , tangents PA and PB are drawn to C_1 . Prove that the centroid of the triangle PAB lies on C_1 .

C_(1) and C_(2) are two concentrate circles, the radius of C_(2) being twice that of C_(1) . From a point P on C_(2) tangents PA and PB are drawn to C_(1) . Prove that the centroid of the DeltaPAB lies on C_(1)

C_(1) and C_(2) are two concentrate circles, the radius of C_(2) being twice that of C_(1) . From a point P on C_(2) tangents PA and PB are drawn to C_(1) . Prove that the centroid of the DeltaPAB lies on C_(1)

C_(1) and C_(2) are two concentrate circles, the radius of C_(2) being twice that of C_(1) . From a point P on C_(2) tangents PA and PB are drawn to C_(1) . Prove that the centroid of the DeltaPAB lies on C_(1)

C_1 and C_2 , are the two concentric circles withradii r_1 and r_2, (r_1 lt r_2) . If the tangents drawnfrom any point of C_2 , to C_1 , meet again C_2 , at theends of its diameter, then

From a point P outside a circle with centre at C, tangents PA and PB are drawn such that 1/(CA)^2+ 1/(PA)^2=1/16 , then the length of chord AB is

From a point P outside a circle with centre at C, tangents PA and PB are drawn such that 1/(CA)^2+ 1/(PA)^2=1/16 , then the length of chord AB is

From a point P outside a circle with centre at C, tangents PA and PB are drawn such that 1/(CA)^2+ 1/(PA)^2=1/16 , then the length of chord AB is

Let C_1 and C_2 are concentric circles of radius 1and 8/3 respectively having centre at (3,0) on the argand plane. If the complex number z satisfies the inequality log_(1/3)((|z-3|^2+2)/(11|z-3|-2))>1, then (a) z lies outside C_(1) but inside C_(2) (b) z line inside of both C_(1) and C_(2) (c) z line outside both C_(1) and C_(2) (d) none of these

Let E be the ellipse (x^2)/9+(y^2)/4=1 and C be the circle x^2+y^2=9 . Let Pa n dQ be the points (1, 2) and (2, 1), respectively. Then (a) Q lies inside C but outside E (b) Q lies outside both Ca n dE (c) P lies inside both C and E (d) P lies inside C but outside E