Parabola `y^2=4a(x-c_1)` and `x^2=4a(y-c_2)` , where `c_1a n dc_2` are variable, are such that they touch each other. The locus of their point of contact is `x y=2a^2` (b) `x y=4a^2` `x y=a^2` (d) none of these

Parabola y^(2)=4a(x-c_(1)) and x^(2)=4a(y-c_(2)) where c_(1) and c_(2) are variables,touch each other. Locus of their point of contact is

Two parabolas y^(2)=4a(x-lamda_(1))andx^(2)=4a(y-lamda_(2)) always touch each other ( lamda_(1),lamda_(2) being variable parameters). Then their point of contact lies on a

Two parabolas y^(2)=4a(x-lamda_(1))andx^(2)=4a(y-lamda_(2)) always touch each other ( lamda_(1),lamda_(2) being variable parameters). Then their point of contact lies on a

The locus of the center of the circle touching the line 2x-y=1 at (1,1) is (a)x+3y=2 (b) x+2y=2( c) x+y=2 (d) none of these

Let parabolas y=x(c-x) and y=x^(2)+ax+b touch each other at the point (1,0) then b-c=

Let the parabolas y=x(c-x)and y=x^(2)+ax+b touch each other at the point (1,0), then-

If the parabolas y=x^(2)+ax+b and y=x(c-x) touch each other at the point (1,0), then a+b+c=

Two parabolas y_(2) = 4a(x – 1l_(1)) and x_(2) = 4a(y – l_(2)) always touch one another, the quantities l_(1) and l_(2) are both variable. Locus of their point of contact has the equation

y-1=m_1(x-3) and y - 3 = m_2(x - 1) are two family of straight lines, at right angled to each other. The locus of their point of intersection is: (A) x^2 + y^2 - 2x - 6y + 10 = 0 (B) x^2 + y^2 - 4x - 4y +6 = 0 (C) x^2 + y^2 - 2x - 6y + 6 = 0 (D) x^2 + y^2 - 4x - by - 6 = 0