1
The length of the transverse axis of the rectangular hyperbola xy 18 is ...
2
A straight line has its extremities on two fixed straight lines and cuts off from them a triangle of ...
3
If a variable line has its intercepts on the coordinate axes e, e', where e/2, e'/2 are the eccentri ...
4
The equation of the transverse axis of the hyperbola (x-3)^2+(y+1)^2=(4x+3y)^2 is ...
5
The family of curves for which the length of the normal at any point is equal to the radius vector o ...
6
The eccentricity of the conic represented by xy²-4x +4y+16-0 is ...
7
The equation 16x^2-3y²-32x+12y -44=0 represents a hyperbola ...
8
If the vertex of a hyperbola bisects the distance between its centre and the corresponding focus, th ...
9
The eccentricity of the hyperbola whose latus rectum is 8 and conjugate axis is equal to half the di ...
10
Let LL' be the latus rectum through the focus of the hyperbola x^2/a^2 - y^2/b^2 =1 and A' be the fa ...
11
The latus rectum of the hyperbola 9x^2-16y^2-18x-32y -151=0 is ...
12
The eccentricity of the conjugate hyperbola of the hyperbola x^2 -3y^2-1 is ...
13
The equations of the transverse and conjugate axes of a hyperbola are respectively x+2y-3=0,2x-y+4-0 ...
14
Locus of a point whose chord of contact with respect to the circle x² + y² = 4 is a tangent to the h ...
15
The sides AC and AB of a ΔABC touch the conjugate hyperbola of the hyperbola(x^2/a^2 )-(y^2/b^2)=1. ...
16
The tangent at a point P on the hyperbola =1 passes through the point (0, b) and the normal at P pas ...
17
If values of m for which the line y= mx + 2√5 touches the hyperbola 16x^2-9y^2=144 are roots of the ...
18
Portion of asymptote of hyperbola (x^2/a^2 )-(y^2/b^2)=1 (between centre and the tangent at vertex) ...
19
If angle between asymptotes of hyperbola (x^2/a^2 )-(y^2/b^2)=1 is 120° and product of perpendicular ...
20
The co-ordinates of a point on the hyperbola,x^2/24-y^2/18=1, which is nearest to the line 3.x + 2y ...
21
The number of possible tangents which can be drawn to the curve 4x²-9y =36, which are perpendicular ...
22
Locus of the feet of the perpendiculars drawn from either focus on a variable tangent to the hyperbo ...
23
From any point P on the hyperbola-H tangents are drawn to the hyperbola b² 2. Then area cut-off by t ...
24
From a point P (1, 2) two tangents are drawn to a hyperbola 'H' in which one tangent is drawn to eac ...
25
The combined equation of the asymptotes of the hyperbola 2x²+5xy+2y²+4x+5y=0 is ...
26
The asymptotes of the hyperbola xy=hx + ky are ...
27
The asymptote of the STANDARD hyperbola form with any tangent to the hyperbola a triangle whose are ...
28
The centre of a rectangular hyperbola lies on the line y=2x. If one of the asymptotes is x+y+c=0, th ...
29
Equation of a rectangular hyperbola whose asymptotes are x=3 and y=5 and passing through (7, 8) is ...
30
If foci of hyperbola lie on y=x and one of the asymptote is y=2x, then equation of the hyperbola, g ...
31
(x-1) (y-2)-5 and (x-1)^2+(y+2)² =r² intersect at four points A, B, C, D and if centroid of AABC li ...
32
If tangents OQ and OR are drawn to variable circles having radius and the centre lying on the recta ...
33
Four points are such that the line joining any two points is perpendicular to the line joining othe ...
34
Equation of conjugate axis of hyperbola xy-3y-4x+7=0 ...
35
If S1 and S2 are the foci of the hyperbola whose transverse axis length is 4 and conjugate axis le ...
36
. Suppose the circle having equation x² + y² = 3 intersects the rectangular hyperbola xy= 1 at the p ...
