The point of intersection of two tangent...

The point of intersection of two tangents to the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1`, the product of whose slopes is `c^(2)`, lies on the curve

Text Solution

AI Generated Solution

Topper's Solved these Questions

JEE MAIN
JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos
LIMITS AND DERIVATIVES
JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

The locus of the point of intersection of perpendicular tangents to the hyperbola (x^(2))/(3)-(y^(2))/(1)=1 , is

The locus of the point of intersection of tangents to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 which meet at right , is

The locus of the point of intersection of two tangents to the hyperbola x^(2)//a^(2) -y^(2)//b^(2) = 1 which make an angle 90^(@) with one another is

From a point P, two tangents PA and PB are drawn to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 . If the product of the slopes of these tangents is 1, then the locus of P is a conic whose eccentricity is equal to

The point of intersection of tangents drawn to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 at the points where it is intersected by the line l x+m y+n=0 is

The locus of the point of Interection of two tangents to the hyperbola x^(2)/a^(2)-y^(2)/b^(2)=1 which a make an angle 60^@ with one another is

The locus of the point of intersection of the tangents at the end-points of normal chords of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 , is

The locus of the point of intersection of tangents to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 at the points whose eccentric angles differ by pi//2 , is

IF the locus of the point of intersection of two perpendicular tangents to a hyperbola (x^(2))/(25) - (y^(2))/(16) =1 is a circle with centre (0, 0), then the radius of a circle is

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions

If z lies on the circle |z-1|=1, then (z-2)/z is
Text Solution
|
Find the coordinates of a point on the (x-1)/2=(y+1)/(-3)=z atg a d...
Text Solution
|
The point of intersection of two tangents to the hyperbola (x^(2))/(a^...
Text Solution
|
prove that int1/(x(x^4+1))dx=1/4log(x^4/(x^4+1))+c
Text Solution
|
If (lim)(xvec0)[cot(pi/4+x)]^(1//x)=A e^2 then the value of A is: e^2 ...
Text Solution
|
A man is known to speak truth 3 out of 4 times. He throws a die and re...
Text Solution
|
If the tangent at (1,1) on y^2=x(2-x)^2 meets the curve again at P , t...
Text Solution
|
The degree of het differential equation sqrt(1+((dy)/(dx))^2)=x^2 is (...
Text Solution
|
Let f: Rvec[3,5] be a differentiable function such that (lim)(xvecoo)f...
Text Solution
|
If a triangle is inscribed in a rectangular hyperbola, it’s orhtocente...
Text Solution
|
Let f:[0,5] to [-1,5], where f(x)={x^2-1,0 <= x < 2 , 1/3(19-2x), 2 < ...
Text Solution
|
Area bounded by the curve y=sqrt(sin[x]+[sinx]),(w h e r e[dot] is gre...
Text Solution
|
Let vec r=( vec axx vec b)sinx+( vec bxx vec c)cosy+2( vec cxx vec a),...
Text Solution
|
Let y=f(x) be an even function. If f^(prime)(2)=-sqrt(3) , then the in...
Text Solution
|
If positive numbers a ,b ,c are in H.P., then equation x^2-k x+2b^(10...
Text Solution
|
The digit in the unit place of the number (183)!+3^183 is
Text Solution
|
The equation of diameter of a circle passing through origin is x+y=1 a...
Text Solution
|
Mutually perpendicular tangents TA and TB are drawn to y^2=4a x . Then...
Text Solution
|
How many three digit numbers are there which are divisible by 5 as ...
Text Solution
|
In a set of five games in between two players A and B, the probabil...
Text Solution
|