If (a,b) be the point on the curve 9y ^(...

If (a,b) be the point on the curve `9y ^(2)=x ^(3)` where normal to the curve make equal intercepts with the axis, then the value of `(a+b)` is:

A

0

B

`10/3`

C

`20/3`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:

C

Topper's Solved these Questions

APPLICATION OF DERIVATIVES
VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (ONE OR MORE THAN ANSWER IS/ARE CORRECT )|29 Videos
APPLICATION OF DERIVATIVES
VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|15 Videos
AREA UNDER CURVES
VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise AXERCISE (SUBJECTIVE TYPE PROBLEMS)|8 Videos

Similar Questions

Explore conceptually related problems

Find the points on the curve 9y^2=x^3 where normal to the curve makes equal intercepts with the axes.

Find the point on the curve 9y^2=x^3, where the normal to the curve makes equal intercepts on the axes.

The point (s) on the curve 9y^(2) = x^(3) where the normal to the curve makes equal intercepts is/are

The point on the curve 9y^2=x^3 , where the normal to the curve makes equal intercepts with the axes is (4,\ +-8//3) (b) (-4,\ 8//3) (c) (-4,\ -8//3) (d) (8//3,\ 4)

The abscissa of the point on the curve ay^2 = x^3 , the normal at which cuts off equal intercepts from the coordinate axes is

The point on the curve y^(2) = x , where tangent make an angle of (pi)/(4) with the x-axis, is

The point on the curve y^(2)=x where tangent makes 45^(@) angle with x-axis, is

Write the coordinates of the point on the curve y^2=x where the tangent line makes an angle pi/4 with x-axis.

Determine the point where the line 2y+x=3 , is normal to the curve y=x^(2) .

VIKAS GUPTA (BLACK BOOK) ENGLISH-APPLICATION OF DERIVATIVES -EXERCISE (SUBJECTIVE TYPE PROBLEMS)

If (a,b) be the point on the curve 9y ^(2)=x ^(3) where normal to the ...
Text Solution
|
A conical vessel is to be prepared out of a circular sheet of gold of ...
Text Solution
|
On [1,e], then least and greatest vlaues of f (x) = x^(2)ln x are m a...
Text Solution
|
If f (x)= (px)/(e ^(x)) - (x ^(2))/(2) + x is a decreasing function f...
Text Solution
|
L e tf(x)={x e^(a x),xlt=0x+a x^2-x^3,x >0 where a is a positive cons...
Text Solution
|
Find sum of all possible values of the real parameter 'b' if the diffe...
Text Solution
|
Let 'theta' be the angle in radians between the curves (x ^(2))/(36) +...
Text Solution
|
Let set of all possible values of lamda such that f (x)= e ^(2x) - (la...
Text Solution
|
Let a,b,c and d be non-negative real number such that a ^(5)+b^(5) le ...
Text Solution
|
There is a point (p,q) on the graph of f(x)=x^(2) and a point (r,s) on...
Text Solution
|
If f(x)=max| 2 siny-x|, (where y in R), then find the minimum value o...
Text Solution
|
Let f (x) = int (0)^(x) ((a -1) (t ^(2)+t+1)^(2) -(a+1)(t^(4)+t ^(2) +...
Text Solution
|
The numbr of real roots of the equation x ^(2013)+ e ^(2014x) =0 is
Text Solution
|
Let the maximum value of expression y= (x ^(4)-x ^(2))/(x ^(6) + 2x ^(...
Text Solution
|
The least positive integral value of 'k' for which there exists at lea...
Text Solution
|
The coordinates of a particle moving in a plane are given by x (t) = a...
Text Solution
|
A tank contains 100 litres of fresh water. A solution containing 1 gm/...
Text Solution
|
If f (x) is continous and differentiable in [-3,9] and f'(x) in [-2,8]...
Text Solution
|
It is given that f (x) is defined on R satisfying f (1)=1 and for AA ...
Text Solution
|
The number of normals to the curve 3y ^(3) =4x which passes through th...
Text Solution
|
Find the number of real root (s) of the equation ae ^(x) =1+ x + (x ^(...
Text Solution
|