The curves `4x^2+9y^2=72` and `x^2-y^2=5a t(3,2)` Then (a) touch each other (b) cut orthogonally (c) intersect at `45^0` (d) intersect at `60^0`

The two circles x^2+y^2=ax and x^2+y^2=c^2 (cgt0) touch each other if

The circles x^2+y^2-12 x-12 y=0 and x^2+y^2+6x+6y=0. a.touch each other externally b.touch each other internally c.intersect at two points d.none of these

If the circles x ^(2) +y^(2) +2gx +2fy =0 and x ^(2) +y^(2) +2g'x+ 2f'y=0 touch each other then-

If two cricles x^2 + y^2 + 2gx + 2fy = 0 and x^2 +y^2 + 2g'x + 2f'y = 0 touch each other, then

Consider two curves C1:y^2=4x ; C2=x^2+y^2-6x+1=0 . Then, (a) C1 and C2 touch each other at one point (b) C1 and C2 touch each other exactly at two point (c) C1 and C2 intersect(but do not touch) at exactly two point (d) C1 and C2 neither intersect nor touch each other

If 4x^(2)+ py^(2) =45 and x^(2)-4y^(2) =5 cut orthogonally, then the value of p is

If the circles x^2+y^2-9=0 and x^2+y^2+2alphax+2y+1=0 touch each other, then alpha is (a) -4/3 (b) 0 (c) 1 (d) 4/3

The circles x^2+y^2+x+y=0 and x^2+y^2+x-y=0 intersect at an angle of

The curves x^2/a+y^2/b=1 and x^2/a_1+y^2/b_1=1 will cut orthogonally if (a-b) =

The circle x^2+y^2+x+y=0 and x^2+y^2+x-y=0 intersect at an angle of :