Let C be a curve given by y=1 + sqrt(4x-...

Let C be a curve given by `y=1 + sqrt(4x-3), x gt (3)/(4)` . If P is a point on C such that the tangent at P has slope `(2)/(3)`, then a point through which the normal at P passes, is

(1,7)

`(3,-4)`

`(4,-3)`

`(2,3)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

APPLICATIONS OF DERIVATIVES
MCGROW HILL PUBLICATION|Exercise Question for Previous Year.s B-Architecture Entrance Examination Papers|27 Videos
APPLICATIONS OF DERIVATIVES
MCGROW HILL PUBLICATION|Exercise Exercise ( NUMERICAL ANSWER TYPE QUESTIONS)|17 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

The point at which the tangent to the curve y=sqrt(4x-3)-10 has slope (2)/(3) is

Point at which the tangent to the curve y=3x-2x^(2) has slope m=-1 is

Let C be a curve defined by y=e^(a+bx^(2)) .The curve C passes through the point P(1,1) and the slope of the tangent at P is (-2). Then the value of 2a-3b is

The point P of the curve y^(2)=2x^(3) such that the tangent at P is perpendicular to the line 4x-3y +2=0 is given by

The fixed point P on the curve y=x^(2)-4x+5 such that the tangent at P is perpendicular to the line x+2y-7=0 is given by

The slope of normal to the curve x^(3)=8a^(2)y, a gt 0 at a point in the first quadrant is -(2)/(3) , then point is

Find the slope of the tangent to the curve y=3x^(2)-4x at the point, whose x - co - ordinate is 2.

Find the coordinates of the points on the curve y=x^2+3x+4 , the tangents at which pass through the origin.

Let y=f(x)be curve passing through (1,sqrt3) such that tangent at any point P on the curve lying in the first quadrant has positive slope and the tangent and the normal at the point P cut the x-axis at A and B respectively so that the mid-point of AB is origin. Find the differential equation of the curve and hence determine f(x).

The length of tangent at a point P(x_(1),y_(1)) to the curve y=f(x) ,having slope m at P is

MCGROW HILL PUBLICATION-APPLICATIONS OF DERIVATIVES-Question for Previous Year.s AIEEE/JEE Main Paper

If the tangent at a point P with parameter t, on the curve x=4t^2+3, y...
Text Solution
|
Let f(x) =sin^4x+cos^4x. Then f is increasing function in the interval
Text Solution
|
Let C be a curve given by y=1 + sqrt(4x-3), x gt (3)/(4) . If P is a p...
Text Solution
|
The normal to the curve y(x-2)(x-3)=x+6 at the point where the curve i...
Text Solution
|
The tangent at the point (2,-2) to the curve, x^2y^2 - 2x= 4(1-y) does...
Text Solution
|
A tangent drawn to the curve y = f(x) at P(x, y) cuts the x and y axes...
Text Solution
|
If a point P has co-ordinates (0, -2) and Q is any point on the circle...
Text Solution
|
The function f defined by f(x) = x^(3) - 6x^(2) - 36 x + 7 is incr...
Text Solution
|
Twenty metres of wire is available for fencing off a flower-bed in ...
Text Solution
|
Let f(x) be a polynomial of degree four having extreme values at x=1 a...
Text Solution
|
If the curves y^2=6x, 9x^2+by^2=16 intersect each other at right angle...
Text Solution
|
If a right circular cone, having maximum volume is inscribed in a sphe...
Text Solution
|
Let f(x)=x^2+(1/x^2) and g(x)=x-1/x xinR-{-1,0,1}. If h(x)=(f(x)/g(x)...
Text Solution
|
if theta denotes the acute angle between the curves, y = 10-x^2" and "...
Text Solution
|
The tangent to the curve yt=xe^(x^2) passing through the point (1,e) a...
Text Solution
|
The tangent to the curve y=x^2-5x+5. parallel to the line 2y=4x+1, als...
Text Solution
|
The equation of a tangent to the parabola, x^(2) = 8y, which makes an ...
Text Solution
|
Let f(x) = - (x)/(sqrt(a^(2) + x^(2)))- (d-x)/(sqrt(b^(2) + (d-x)^(2))...
Text Solution
|
Find the area of the largest rectangle with lower base on the x-axis a...
Text Solution
|
The maximum values of 3 costheta+5sin(theta-(pi)/(6)) for any real val...
Text Solution
|