If the tangent at the point P on the circle `x^2+y^2+6x+6y=2` meets the straight line 5x - 2y + 6 = 0 at a point on the y-axis, then the length of PQ is

If the tangent at the point p on the circle x^(2)+y^(2) +6x +6y-2=0 meets the straight line 5x-2y+ 6 =0 at the point Q on the y-axis, then the length of PQ is-

If the straight lines 2x - 3y + 5= 0 and ax + 2y. = 6 are parallel, then the value of a is

The tangent drawn at the point (0, 1) on the curve y=e^(2x) meets the x-axis at the point -

Find the length of the chord intercepted by the circle x^2+y^2-6x+8y-5=0 on the line 2x-y=5.

The lngth of the tangent from the point (1, 1) to the circle x^2 + y^2 + 4x + 6y + 1 = 0 is

Find the length of intercept, the circle x^2+y^2+10 x-6y+9=0 makes on the x-axis.

Find the equations of the tangents to the circle x^2+y^2-6x+4y=12 which are parallel to the straight line 4x+3y+5=0

The normal to-be circle x^2 +y^2 - 4x + 6y -12=0 passes through the point

A tangent at a point on the circle x^2+y^2=a^2 intersects a concentric circle C at two points Pa n dQ . The tangents to the circle X at Pa n dQ meet at a point on the circle x^2+y^2=b^2dot Then the equation of the circle is (a) x^2+y^2=a b (b) x^2+y^2=(a-b)^2 (c) x^2+y^2=(a+b)^2 (d) x^2+y^2=a^2+b^2

If the tangents are drawn to the circle x^2+y^2=12 at the point where it meets the circle x^2+y^2-5x+3y-2=0, then find the point of intersection of these tangents.