# If 5x2+λy2=20 represents a rectangular hyperbola, then λ is equal to

1.  -4

2.  -5

3.  4

4.  5

4

-5

Explanation :
No Explanation available for this question

# The locus of the perpendicular drawn from the focus to any tangent to the hyperbola[[(y-4)2/3]-[(x-3)2/10]]=1

1.  (x-3)2+(y-4)2=13

2.  (x-3)2+(y-4)2=3

3.  (y+4)2-(x-3)2=3

4.  (y+4)2-(x-3)2=-1

4

(x-3)2+(y-4)2=3

Explanation :
No Explanation available for this question

# If the latusrectum of a hyperbola subtends an angle 600 at the other focus then its e=

1.  √6

2.  √5

3.  √3

4.  √2

4

√3

Explanation :
No Explanation available for this question

# Product of the slopes of two tangents drawn from (0,2) to 5x2-y2=5

1.  8

2.  -9

3.  -8

4.  9

4

-9

Explanation :
No Explanation available for this question

# The number of normals to the hyperbola [(x2/a2)-(y2/b2)]=1 from an external point is

1.  5

2.  6

3.  4

4.  2

4

4

Explanation :
No Explanation available for this question

# The angle between the asymptotes of the hyperbola x2+3xy+2y2+2x+3y=0 is

1.  Tan-1(1/7)

2.  Tan-1(1/5)

3.  Tan-1(1/3)

4.  Tan-1(1/2)

4

Tan-1(1/3)

Explanation :
No Explanation available for this question

# The locus of middle points of chords of the hyperbola 2x2-3y2=5 which passes through the point (1,-2) is

1.  3x2-y2-x-4y=0

2.  x2-3y2-4x-y=0

3.  3x2-2y2-6x-2y=0

4.  2x2-3y2-2x-6y=0

4

2x2-3y2-2x-6y=0

Explanation :
No Explanation available for this question

# The vertices of a hyperbola (2,0),(-2,0) and the foci are (3,0),(-3,0).The equation of the hyperbola is

1.  [(x2/4)-(y2/5)]=2

2.  [(x2/4)+(y2/5)]=2

3.  [(x2/4)+(y2/5)]=1

4.  [(x2/4)-(y2/5)]=1

4

[(x2/4)-(y2/5)]=1

Explanation :
No Explanation available for this question

# The polar equation of xcosα+ysinα=p is

1.  rsin(θ+α)=p

2.  rsin(θ-α)=p

3.  rcos(θ+α)=p

4.  rcos(θ-α)=p

4

rcos(θ-α)=p

Explanation :
No Explanation available for this question

# The polar equation cosθ+7sinθ=1/r represents a

1.  Hyperbola

2.  Straight line

3.  Parabola

4.  Circle

4