Tangents are drawn to x^2+y^2=16 from th...

Tangents are drawn to `x^2+y^2=16` from the point `P(0, h)dot` These tangents meet the `x-a xi s` at `Aa n dB` . If the area of triangle `P A B` is minimum, then `h=12sqrt(2)` (b) `h=6sqrt(2)` `h=8sqrt(2)` (d) `h=4sqrt(2)`

`4 sqrt3`

`3 sqrt3`

`3 sqrt2`

`4 sqrt2`

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

Tangents are drawn to x^(2)+y^(2)=16 from the point P(0,h). These tangents meet the x- axis at A and B. If the area of triangle PAB is minimum,then h=12sqrt(2) (b) h=6sqrt(2)h=8sqrt(2) (d) h=4sqrt(2)

Tangents are drawn to x^2+y^2=16 from P(0,h). These tangents meet x-axis at A and B.If the area of PAB is minimum, then value of h is: (a) 12sqrt2 (b) 8sqrt2 (c) 4sqrt2 (d) sqrt2

Tangents are drawn from the point (-1,2) to the parabola y^(2)=4x. These tangents meet the line x=2 at P and Q, then length of PQ is

Tangents are drawn to the hyperbola 4x^(2)-y^(2)=36 at the points P and Q . If these tangents intersect at the point T(0,3) and the area (in sq units) of Delta TPQ is a sqrt(5) then a=

Tangents are drawn to the circle x^2 + y^2 = 32 from a point A lying on the x-axis. The tangents cut the y-axis at points B and C , then the coordinate(s) of A such that the area of the triangle ABC is minimum may be: (A) (4sqrt(2), 0) (B) (4, 0) (C) (-4, 0) (D) (-4sqrt(2), 0)

Tangents are drawn to the circle x^2+y^2=50 from a point 'P' lying on the x-axis. These tangents meet the y-axis at points P_1' and P_2' . Possible coordinates of 'P' so that area of triangle PP_1P_2 is minimum , is/are

Tangents are drawn from the point (-1,2) to the parabola y^(2)=4x The area of the triangle for tangents and their chord of contact is

If the area of the triangle formed by the lines x=0,y=0,3x+4y-a(a>0) is 1, then a=(A)sqrt(6)(B)2sqrt(6)(C)4sqrt(6)(D)6sqrt(2)

If A is the area an equilateral triangle of height h , then (a) A=sqrt(3)\ h^2 (b) sqrt(3)A=h (c) sqrt(3)A=h^2 (d) 3A=h^2

A circle passes through the points A(1,0) and B(5,0), and touches the y-axis at C(0,h). If /_ACB is maximum,then (a)h=3sqrt(5)(b)h=2sqrt(5)(c)h=sqrt(5)(d)h=2sqrt(10)

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

From the top of a 64 metres high tower, a stone is thrown upward verti...
Text Solution
|
If x= 2cost+cos 2t,y=2sin t-sin 2t ,then " at " t= ( pi)/(4) ,(dy)/(d...
Text Solution
|
Tangents are drawn to x^2+y^2=16 from the point P(0, h)dot These tange...
Text Solution
|
Consider f(x)=tan^(-1)(sqrt((1+sinx)/(1-sinx))), x in (0,pi/2)dot A n...
Text Solution
|
If m and M are the minimum and the maximum values of 4+1/2 sin^2 2x-2c...
Text Solution
|
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
|