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Q.) The equation 16x^2-3y²-32x+12y -44=0 represents a hyperbola
[A]
the length of whose transverse axis is 4v3
[B]
the length of whose conjugate axis is 4
[C]
whose centre is (-1, 2)
[D]
whose eccentricity is root(19/3)
[A] the length of whose transverse axis is 4v3
[B] the length of whose conjugate axis is 4
[C] whose centre is (-1, 2)
[D] whose eccentricity is root(19/3)
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Hyperbola 📚
1
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2
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3
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4
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5
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6
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7
The equation 16x^2-3y²-32x+12y -44=0 represents a hyperbola ...
8
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9
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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
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23
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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
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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 ...
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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 ...
