If the point on y = xtanalpha -(ax^2)/(3...

If the point on `y = xtanalpha -(ax^2)/(32cos^2alpha),(alpha > 0)` where the tangent is parallel to `y = x` has an ordinate `4/a` then `4sin^2alpha` equals to:

`pi//2`

`pi//6`

`pi//3`

none of these

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

APPLICATIONS OF DERIVATIVES
MCGROW HILL PUBLICATION|Exercise Exercise ( NUMERICAL ANSWER TYPE QUESTIONS)|17 Videos
APPLICATIONS OF DERIVATIVES
MCGROW HILL PUBLICATION|Exercise Question for Previous Year.s AIEEE/JEE Main Paper|65 Videos
APPLICATIONS OF DERIVATIVES
MCGROW HILL PUBLICATION|Exercise Exercise ( LEVEL-1 SINGLE CORRECT ANSWER TYPE QUESTIONS)|45 Videos
AREA BY INTEGRATION
MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos

Similar Questions

Explore conceptually related problems

If the point on y=x tan alpha-(ax^(2))/(32cos^(2)alpha),(alpha>0) where the tangent is parallel to y=x has an ordinate (4)/(a) then 4sin^(2)alpha equals to:

points on the curve y=4 alpha[x+alpha sin((x)/(alpha))] where the tangent is parallel to the X axis lie on

The co-ordinates of the point of the curve y=x-(4)/(x) , where the tangent is parallel to the line y=2x is

If the point (3,4) lies on the locus of the point of intersection of the lines x cos alpha+y sin alpha=a and x sin alpha-y cos alpha=b ( alpha is a variable) ,the point (a, b) lies on the line 3x-4y=0 then |a+b| is equal to

If the line y cos alpha = x sin alpha +a cos alpha be a tangent to the circle x^(2)+y^(2)=a^(2) , then

If the point (3, 4) lies on the locus of the point of intersection of the lines x cos alpha + y sin alpha =a and x sin alpha - y cos alpha =b ( alpha is a variable), the point (a, b) lies on the line 3x-4y=0 then (a^(2)-b^(2))/2 is equal to

MCGROW HILL PUBLICATION-APPLICATIONS OF DERIVATIVES-Exercise ( LEVEL-2 SINGLE CORRECT ANSWER TYPE QUESTIONS)

The smallest value of M such that |x^2-3x+2| leq M for all x in [1,5/2...
Text Solution
|
The point in the interval [0, pi] for which the curve y =(1//2)x and y...
Text Solution
|
The points at which the tangents to the curve ax^(2) + 2hxy + by^(2) =...
Text Solution
|
If the point on y = xtanalpha -(ax^2)/(32cos^2alpha),(alpha > 0) where...
Text Solution
|
Let f(x) = {(|x-1|+ a",",x le 1),(2x + 3",",x gt 1):} . If f(x) has lo...
Text Solution
|
Let g(x) = int(0)^(x) f(t) dt and f(x) satisfies the equation f(x +y) ...
Text Solution
|
The area of the triangle formed by the positive x-axis with the norma...
Text Solution
|
The interval in which the function y = f(x) = (x-1)/(x^2-3x+3) transfo...
Text Solution
|
Angle at which the circle x^2+y^2=16 can be seen from (8, 0) is
Text Solution
|
The critical points of the function f(x) = (x +2)^(2//3) (2x-1) are
Text Solution
|
The function f(x)=(log(pi+x))/(log(e+x))s is
Text Solution
|
A rectangle with perimeter 32 cm has greatest area if its length is
Text Solution
|
The greatest vaue of the function f(x) = cot^(-1) x + (1//2) log x ...
Text Solution
|
A particle is moving along the parabola y^(2) = 4(x+2). As it passes t...
Text Solution
|
The perimeter of a rectangle is fixed at 24cm. If the length l of the ...
Text Solution
|
The rate at which fluid level inside vertical cylindrical tank of radi...
Text Solution
|
The length x of a rectangle is increasing at the rate of 3 cm/sec. and...
Text Solution
|
if f(x) be a twice differentiable function such that f(x) =x^(2) " fo...
Text Solution
|
A tangent drawn to the curve y=f(x) at P(x,y) cuts the x-axis and y-ax...
Text Solution
|
If f(x) = x^(3) + bx^(2) + cx +d and 0lt b^(2) lt c.then in (-infty, i...
Text Solution
|