If a normal to a parabola y^2 = 4ax make an angle ϕ with …?

If a normal to a parabola y^2 = 4ax make an angle ϕ with …?

Web2. Find the locus of the point of intersection of two normals to a parabola which are at right angles to one another. Solution: The equation of the normal to the parabola y^2 = 4ax is y = -tx + 2at + at^3. (t is parameter) … cool gc names for 4 WebMar 6, 2024 · If the parabolas ${{y}^{2}}=4b\\left( x-c \\right)$ and ${{y}^{2}}=8ax$ have a common normal, other than x-axis, then which one of the following is a valid choice for ... WebA line bisecting the ordinate P N of a point P (a t 2, 2 a t), t > 0, on the parabola y 2 = 4 a x is drawn parallel the axis to meet the curve at Q. if N Q meets the tangent at the vertex at the point T, then the coordinates of T are cool gc pfp WebThe normal chord of a parabola y2 =4ax at the point P (x1x1) subtends a angle at the. Q. The normal chord at a point 't' on the parabola y2 = 4ax subtends a right angle at the vertex . Then t2 is equal to. Q. Find the slope of the normal chord of the parabola y2 =4ax which subtends a right angle at its vertex. Q. WebConsider an equation y = 3x 2 - 6x + 5. For this parabola, a = 3 , b = -6 and c = 5. Here is the graph of the given quadratic equation, which is a parabola. ... drawn perpendicular to tangent and passing through the point of contact and the focus of the parabola is called the normal. For a parabola y 2 = 4ax, the equation of the normal passing ... cool gc names for 7 WebJul 5, 2024 · Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site

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