if y=4x+3 is parallel to a tangent to th...

if `y=4x+3` is parallel to a tangent to the parabola `y^2=12x`, then its distance from the normal parallel to the given line is

A

`213/sqrt17`

B

`219/sqrt17`

C

`211/sqrt17`

D

`210/sqrt17`

Text Solution

Verified by Experts

The correct Answer is:

D

Promotional Banner

Promotional Banner

Topper's Solved these Questions

PARABOLA
ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|14 Videos
PARABOLA
ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|24 Videos
PARABOLA
ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|25 Videos
PAIR OF STRAIGHT LINES
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos
PERMUTATIONS AND COMBINATIONS
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

Similar Questions

Explore conceptually related problems

If y=2x+3 is a tangent to the parabola y^2=24 x , then find its distance from the parallel normal.

If y=2x+3 is a tangent to the parabola y^2=24 x , then find its distance from the parallel normal.

The equation of the tangent to the parabola y^(2)=8x and which is parallel to the line x-y+3=0 is

Find the equation of the tangent to the parabola y^2 = 4x + 5 which is parallel to the straight line y= 2x+7

The equation of the tangents to the hyperbola 3x^(2) -4y^(2) =12 which are parallel to the line 2x+ y+7=0 are

Find the equation of the normal to the parabola y^2=4x which is parallel to the line y=2x-5.

The equation of the tangent to the hyperbola 2x^(2)-3y^(2)=6 which is parallel to the line y=3x+4 , is

Find the equation of tangent to the parabola y^(2) = 16x which is a) parallel b) and perpendicular to the line 3x - 4y+5=0

The equation to the normal to the parabola y^(2)=4x at (1,2) is

Find a point on the parabola y=(x-3)^2 , where the tangent is parallel to the chord joining (3, 0) and (4, 1).

ARIHANT MATHS ENGLISH-PARABOLA-Exercise (Single Option Correct Type Questions)

If the normals to the parabola y^2=4a x at P meets the curve again at ...
Text Solution
|
The normal to the parabola y^(2)=4ax at three points P,Q and R meet at...
Text Solution
|
about to only mathematics
Text Solution
|
The largest value of a for which the circle x^2+y^2=a^2 falls totally ...
Text Solution
|
From a point (sintheta,costheta), if three normals can be drawn to the...
Text Solution
|
If two different tangents of y^2=4x are the normals to x^2=4b y , then...
Text Solution
|
The shortest distance between the parabolas 2y^2=2x-1 and 2x^2=2y-1 is...
Text Solution
|
Normals at two points (x1y1)a n d(x2, y2) of the parabola y^2=4x meet ...
Text Solution
|
A line is drawn form A(-2,0) to intersect the curve y^2=4x at Pa n dQ ...
Text Solution
|
An equilateral triangle SAB is inscribed in the parabola y^(2)=4ax hav...
Text Solution
|
C is the center of the circle with center (0, 1) and radius unity. P i...
Text Solution
|
Let S be the focus of y^2=4x and a point P be moving on the curve such...
Text Solution
|
If P be a point on the parabola y^2=3(2x-3) and M is the foot of perpe...
Text Solution
|
Consider the parabola y^2=4xdot Let A-=(4,-4) and B-=(9,6) be two fixe...
Text Solution
|
Through the vertex O of the parabola y^2=4a x , two chords O Pa n dO Q...
Text Solution
|
A B is a double ordinate of the parabola y^2=4a xdot Tangents drawn to...
Text Solution
|
If the fourth term in the expansion of (a x+1/x)i s5/2,\ then find th...
Text Solution
|
The set of points on the axis of the parabola y^2-4x-2y+5=0 find the s...
Text Solution
|
The tangent to the parabola y=x^2 has been drawn so that the abscissa ...
Text Solution
|
if y=4x+3 is parallel to a tangent to the parabola y^2=12x, then its d...
Text Solution
|