Question

Tangents are drawn from the points on the line x-y+3=0 to parabola

Answer 1

Answer:

x-y+3=0:-2-1+3=0 is the answer

Answer 2

given : Tangents are drawn from the points on the line x−y+3=0 to parabola y² =8x. Then the variable chords of contact pass through a fixed point whose coordinates are

solution:

Let (k,k+3) be the point on the line x−y+3=0

Equation of chord of contact is $S_1 =0$

$yy_1 = 4(x+x_1)\\\\y(k+3) = 4(x+k)\\\\4x-3y-k(y-4) =0$

Therefore, straight line passes through fixed point (3,4)

hence , required point is (3,4)

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