Find an equation of the tangent line to the parabola at the given point and find the x-intercept of the line

x^2 = 2y, (7, 49/2)

If P ≡ ( x₁, y₁ ) ≡ ( 7, 49/2 ),

then the eq of tgt to parabola x² = 2y at P is

... xx₁ = y + y₁

∴ 7x = y + (49/2) ........................................… Ans.(i)

... Putting y = 0, 7x = 49/2

∴ X-intercept = 7/2 ........................................… Ans.(ii)
_______________________________