If the length of the latus rectum of a p...

If the length of the latus rectum of a parabola where focus is `(a,a)` and tangent at its vertex is `x+y=a` os 16, then `[a]` is equal to

A

`2sqrt3`

B

`2sqrt2`

C

`4sqrt2`

D

4

Text Solution

AI Generated Solution

Topper's Solved these Questions

JEE MAIN 2021
JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos
JEE MAIN 2023
JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

Let l be the length of the latus rectum of the parabola whose focus is (1,2) and two tangents are x-y=0 and x+y=0 , then l is equal to (sqrt5=2.24)

The length of latus rectum of parabola whose whose focus is (-6,6) and vertex is (-2,2) is

Find the length of the latus rectum of the parabola whose focus is at (2,3) and directrix is the line x-4y+3=0

Length of latus rectum of a parabola whose focus is (3,3) and directrix is 3x - 4y - 2 = 0 is

The length of latus-rectum of parabola x^(2) = - 16 y is :

Length of the semi-latus -rectum of parabola : x^(2) = -16y is :

Latus rectum of the parabola whose focus is (3, 4) and whose tangent at vertex has the equation x + y = 7 + 5sqrt2 is

Consider the parabola whose focus is at (0,0) and tangent at vertex is x-y+1=0 The length of latus rectum is

The equation of the latus rectum of a parabola is x+y=8 and the equation of the tangent at the vertex is x+y=12 .Then find the length of the latus rectum.

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question

If f(x)=sin^-1[2x^2-3]+log2(log(1/2)(x^2-5x+5)) where [.] is GIF then ...
Text Solution
|
If T is a common tangent to the curve C1:x^2/4+y^2/9=1 , C2:x^2/42-y^2...
Text Solution
|
If the length of the latus rectum of a parabola where focus is (a,a) a...
Text Solution
|
If sum of infinite G.P whose first ter is a common ratio r is 5 and su...
Text Solution
|
For a binomial probability distribution , sum and product of mean and ...
Text Solution
|
f(x)=([729p(1+x)]^(1/7)-3)/([729(1+qx)]^(1/3)-9), and f(x) is continuo...
Text Solution
|
A=[(alpha,beta,gamma),(alpha^2,beta^2,gamma^2),(beta+gamma ,alpha+gamm...
Text Solution
|
Let n^(th)term of any sequence is given Tn=(-1^3+2^3-3^3+4^3+. . .+(2n...
Text Solution
|
Let (1+isin alpha)/(1-2i sin alpha) is purely imaginary and (1+i cos b...
Text Solution
|
The remainder when 7^(2022)+3^(2022) is divisible by 5 is
Text Solution
|
The sum of all the values of x satisfying cos^(-1)x-2sin^(-1)x=cos^(-1...
Text Solution
|
f(x)=int0^x e^(x-t)f'(t)dt+e^x(x^2-x+1). Find maximum value of f(x).
Text Solution
|
If y=cos^(-1)(x^2-4x+2)/(x^2+3) , then domain is :
Text Solution
|
If xdy=(sqrt(x^2+y^2)+y)dx and y(1)=0, then y(2) equals:
Text Solution
|
If a(n+2)=2/a(n+1)+an,a1=1,a2=2 , and ((a1+1/a2)/a3).((a2+1/a3)/a4)......
Text Solution
|
Let z1 in C,|z1-3|=1/2,z2 in C, |z2+|z2-1||=|z2-|z2+1||, then least va...
Text Solution
|
If A=[[0,1,0],[1,0,0],[0,0,1]] and B0=2A^(98)+A^(49),Bn=adj(B(n-1)), t...
Text Solution
|
Tangent at two points P and Q on parabola y^2=2x-3 meet at R(0,1) , th...
Text Solution
|
Let hyperbola H : x^2-y^2=1 and ellipse E : x^2/a^2+y^2/b^2=1 and ecce...
Text Solution
|
A(cos t , sin t), B(sin t ,-cos t) and C(a,b) form an equilateral tria...
Text Solution
|