Q. 135.0( 1 Vote )

<span lang="EN-US

Answer :

Given that we need to find the length of the chord of the parabola y2 = 4ax which passes through the vertex and is inclines to axis at .



We know that the vertex and axis of the parabola y2 = 4ax is (0, 0) and y = 0(x - axis).


We know that the equation of the straight line passing through the origin and inclines to the x - axis at an angle θ is y = tanθx.



y = 1.x


y = x.


The equation of the chord is y = x.


Substituting y = x in the equation of parabola.


x2 = 4ax


x = 4a.


y = x = 4a


The chord passes through the points (0, 0) and (4a, 4a).


We know that the distance between the two points (x1, y1) and (x2, y2) is .





l = 4√2 a


The correct option is A

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

<span lang="EN-USRD Sharma - Mathematics

<span lang="EN-USRD Sharma - Mathematics

Fill in the BlankMathematics - Exemplar

Show that the setMathematics - Exemplar

The cable oRD Sharma - Mathematics

If the line y = mMathematics - Exemplar

<span lang="EN-USRD Sharma - Mathematics

Find the coordinaMathematics - Exemplar

Find the eqRD Sharma - Mathematics

If the lineRD Sharma - Mathematics