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

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 (a) x y=2a^2 (b) x y=4a^2 (c) x y=a^2 (d) none of these

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 (a) x y=2a^2 (b) x y=4a^2 (c) x y=a^2 (d) none of these

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 (a) x y=2a^2 (b) x y=4a^2 (c) x y=a^2 (d) none of these

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 (a) x y=2a^2 (b) x y=4a^2 (c) 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 variable,are such that they touch each other. The locus of their point of contact is xy=2a^(2) (b) xy=4a^(2)xy=a^(2)(d) none of these

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

Two parabolas y^(2) = 4a(x – l_(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

P(x , y) is a variable point on the parabola y^2=4a x and Q(x+c ,y+c) is another variable point, where c is a constant. The locus of the midpoint of P Q is

P(x , y) is a variable point on the parabola y^2=4a x and Q(x+c ,y+c) is another variable point, where c is a constant. The locus of the midpoint of P Q is (a) parabola (b) hyperbola (c) circle (d) none of these