Equation of normal to parabola y² = 4ax at (at², 2at):
Ay = mx + c
BBoth first and third
Cy - 2at = -t(x - at²)
Dy + tx = 2at + at³
Answer & Solution
Correct answer: B. Both first and third
At parameter t, slope of tangent = 1/t, so normal slope = -t.
**Normal:** y - 2at = -t(x - at²) → tx + y = 2at + at³.
Both A and C are correct equivalent forms.
Keep practising Straight Lines and Conic Sections
Browse all Straight Lines and Conic Sections questions for GRE, or explore more Mathematics topics.
Related questions
The line 3x − 4y + 12 = 0 cuts the y-axis atThe intercept form of the equation of a line making intercepts a and b on the x- and y-axeThe distance between the parallel lines 3x + 4y = 7 and 3x + 4y = 12 isThe angle θ between two lines with slopes m₁ and m₂ satisfiesThe distance from the point (0, 0) to the line 3x + 4y − 25 = 0 isEquation of the line passing through (3, 4) and parallel to the line 2x − 3y = 5 isThe equation of the line passing through (2, −1) with slope 3 isThe slope-intercept form y = mx + c of the line 3x + 4y = 8 gives a slope of