Normals are drawn from the point P with ...

Normals are drawn from the point P with slopes `m_(1),m_(2)andm_(3)` to that parabola `y^(2)=4x`. If the locus of P with `m_(1)m_(2)=alpha` is a part of the parabola itself then the value of `alpha` is _________.

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

CONIC SECTIONS
VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|15 Videos
CONIC SECTIONS
VMC MODULES ENGLISH|Exercise JEE MAIN ARCHIVE|15 Videos
CONIC SECTIONS
VMC MODULES ENGLISH|Exercise LEVEL - 1|178 Videos
COMPLEX NUMBERS
VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos
DIFFERENTIAL CALCULUS
VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos

Similar Questions

Explore conceptually related problems

Normals are drawn from a point P with slopes m_1,m_2 and m_3 are drawn from the point p not from the parabola y^2=4x . For m_1m_2=alpha , if the locus of the point P is a part of the parabola itself, then the value of alpha is (a) 1 (b)-2 (c) 2 (d) -1

Three normals with slopes m_1, m_2 and m_3 are drawn from a point P not on the axis of the axis of the parabola y^2 = 4x . If m_1 m_2 = alpha , results in the locus of P being a part of parabola, Find the value of alpha

If the line y=m x+1 is tangent to the parabola y^2=4x , then find the value of m .

Normals are drawn from the interior point P to the parabola y^(2)=4x such that product of two slope is alpha , if locus of P is parabola itself then alpha is _________

If the line y=m x+1 is tangent to the parabola y^2=4x , then find the value of mdot

Two tangents are drawn from a point (-4, 3) to the parabola y^(2)=16x . If alpha is the angle between them, then the value of cos alpha is

Let tangent PQ and PR are drawn from the point P(-2, 4) to the parabola y^(2)=4x . If S is the focus of the parabola y^(2)=4x , then the value (in units) of RS+SQ is equal to

If tangents be drawn from points on the line x=c to the parabola y^2=4x , show that the locus of point of intersection of the corresponding normals is the parabola.

If two tangents drawn from the point P (h,k) to the parabola y^2=8x are such that the slope of one of the tangent is 3 times the slope of the other , then the locus of point P is

The number of normals drawn to the parabola y^(2)=4x from the point (1,0) is

VMC MODULES ENGLISH-CONIC SECTIONS-LEVEL - 2

Prove that the length of the intercept on the normal at the point P(at...
Text Solution
|
Three normals are drawn froom the point (14,7) to the curve y^2-16x-8y...
Text Solution
|
Normals are drawn from the point P with slopes m(1),m(2)andm(3) to tha...
Text Solution
|
Let P (a, b) and Q(c, d) are the two points on the parabola y^2=8x suc...
Text Solution
|
From a the point P(h, k) three normals are drawn to the parabola x^2=8...
Text Solution
|
Chord of the parabola y^2+4y=(4)/(3)x-(16)/(3) which subtend right ang...
Text Solution
|
about to only mathematics
Text Solution
|
Two parabolas y^(2) = 4a(x – l(1)) and x^(2) = 4a(y – l(2)) always tou...
Text Solution
|
If a sphere of mass m moving with velocity u collides with another ide...
Text Solution
|
about to only mathematics
Text Solution
|
The ordinates of points P and Q on the parabola y^2=12x are in the rat...
Text Solution
|
Tangents at point B and C on the parabola y^2=4ax intersect at A. The ...
Text Solution
|
The triangle formed by the tangent to the parabola y^2=4x at the point...
Text Solution
|
The parabolas y=x^2-9" and "y=kx^2 intersect at points A and B. If len...
Text Solution
|
If a chord which is normal to the parabola at one end subtend a right ...
Text Solution
|
Set of values of 'h' for which the number of distinct common normals o...
Text Solution
|
If the normal to the parabola y^2=4ax at the point (at^2, 2at)cuts the...
Text Solution
|
On the parabola y^2 = 4ax, three points E, F, G are taken so that thei...
Text Solution
|
PQ is a double ordinate of the parabola y^(2)=4ax. If the normal at P ...
Text Solution
|
The equation of circle passing through co-normal points of y^2=4ax is:
Text Solution
|