# the locus of point of intersection of two normals drawn to the parabola which are at right angles is

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1the locus of point of intersection of two normals drawn to the parabola which are at right angles is
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) It passes through the point (h, k) if k = -th + 2at + at^3 => at^3 + t(2a – h) – k = 0. … (1)
https://math.stackexchange.com/questions/518226/locus-of-a-point-where-two-normals-meet

2the locus of point of intersection of two normals drawn to the parabola which are at right angles is
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 = mx – 2am – am 3. It passes through the point (h, k) if . k = mh – 2am – am 3 => am 3 + m(2a – h) + k = 0. … (1)

3the locus of point of intersection of two normals drawn to the parabola which are at right angles is
To ask Unlimited Maths doubts download Doubtnut from – https://goo.gl/9WZjCW Find the locus of a point which is such that, Two of the normals drawn from it to the parabola `y^2 = 4ax` are at right …

4the locus of point of intersection of two normals drawn to the parabola which are at right angles is
Find the locus of the point of intersection of the three normals to the parabola ({y^2} = 4ax,) two of which are inclined at right angles to each other. Solution: Let P(h, k) be the point whose locus we wish to determine. Any normal to the given parabola can be written as [y = mx – 2am – a{m^3}] If this passes through P(h, k), we have
https://www.cuemath.com/jee/examples-on-normals-to-parabolas-set-2-parabolas/

5the locus of point of intersection of two normals drawn to the parabola which are at right angles is
The locus of point of intersection of two normals drawn to the parabola y 2 = 4 a x which are at right angles is. A. … Find the condition on a & b so that the two tangents drawn to the parabola y 2 = 4 a x from a point are normals to the parabola x 2 = 4 b y. 1 Verified Answer.

6the locus of point of intersection of two normals drawn to the parabola which are at right angles is
Find the locus of a point which moves so that the tangents from it to a circle are at right angles. Hot Network Questions How does 3D mesh morphing work?
https://math.stackexchange.com/questions/1905985/locus-of-point-of-intersection-of-the-tangents-which-are-at-right-angles

7the locus of point of intersection of two normals drawn to the parabola which are at right angles is
Find the locus of the point of intersection of two normals to a parabola which are at right angles to one another. December 20, … is such that the middle point of the segment of normal between point of contact and x axis lies on the parabola 2 y 2 = x, …

8the locus of point of intersection of two normals drawn to the parabola which are at right angles is
Then the locus of the point of intersection of the normals … Find the locus of the point of intersection of two normals to a parabola which are at right angles to one another. … jee mains +1 vote. 1 answer. Normals are drawn from the point P with slope m1, m2, m3 to the parabola y^2 = 4x.
https://www.sarthaks.com/521415/the-ordinates-points-parabola-the-ratio-then-the-locus-the-point-intersection-the-normals

9the locus of point of intersection of two normals drawn to the parabola which are at right angles is
What is the angle between the tangents drawn from the point (1, 4) to the parabola y2=4x? A circle touches the parabola y^2=4ax at P. It also passes through the focus of the parabola and intersects its axis at Q.
https://www.quora.com/The-chord-PQ-of-parabola-y-2-4ax-subtends-a-right-angle-at-the-vertex-What-is-the-locus-of-the-point-of-intersection-of-the-normals-at-P-and-Q

10the locus of point of intersection of two normals drawn to the parabola which are at right angles is
The slope of the normal at M1 is – y1/2a . and the slope of the normal at M2 is – y2 / (2a ) Since the product of 2 slopes are – 1 then . m1 = – y1 /(2a) and m2 = (2a) / y1 . Now write the 2 equations of the normals and find the intersection. eliminate y1, y2 , x1, x2 to find the locus. This is my approach , but I haven’t proved it yet.

### BING based on video search results

 1  The line `y = x – 2` cuts the parabola `y^2 = 8x` in the points A and B. The normals drawn to To ask Unlimited Maths doubts download Doubtnut from – https://goo.gl/9WZjCW The line `y = x – 2` cuts the parabola `y^2 = 8x` in the points A and B. The normals drawn to the parabola at A and B intersect at G. A line passing through G intersects the parabola at right angles at the point C, and the tangents at A and B intersect at point T. Watch Video: https://www.youtube.com/watch?v=0GTMDEcqD0c

### Wikipedia based search results

1Parabola
a parabola is as a conic section, created from the intersection of a right circular conical surface and a plane parallel to another plane that is tangential…
https://en.wikipedia.org/wiki/Parabola

2Apollonius of Perga
they were in just before the invention of analytic geometry. His definitions of the terms ellipse, parabola, and hyperbola are the ones in use today. Apollonius…
https://en.wikipedia.org/wiki/Apollonius of Perga

3Analytic geometry
y)|(x-1)^{2}+y^{2}=1}} . The intersection of these two circles is the collection of points which make both equations true. Does the point ( 0 , 0 ) {displaystyle…
https://en.wikipedia.org/wiki/Analytic geometry