# Equation to the pair of tangents drawn from (2,-1) to the ellipse x2+3y2=3 is

1.  y2+4xy+4x-6y-7=0

2.  y2-4xy-8x+5y+9=0

3.  y2-4xy-6x-8y+5=0

4.  y2+4xy+4x+6y+9=0

4

y2+4xy+4x-6y-7=0

Explanation :
No Explanation available for this question

# The eccentricity of the ellipse 5x2+9y2=1 is

1.  2/3

2.  3/4

3.  4/5

4.  1/2

4

2/3

Explanation :
No Explanation available for this question

# The pole of the line x=-a/e with respect to the ellipse (x2/a2)+(y2/b2)=1 is

1.  (a/e,0)

2.  [-(a/e),0]

3.  (-ae,0)

4.  (ae,0)

4

(-ae,0)

Explanation :
No Explanation available for this question

# The ratio of the lengths of the major and minor axes of the ellipse 9x2+16y2=144 is

1.  5:3

2.  3:2

3.  6:5

4.  4:3

4

4:3

Explanation :
No Explanation available for this question

# The value of k if (1,2), (k,-1) are conjugate points with respect to the ellipse 2x2+3y2=6 is

1.  2

2.  4

3.  6

4.  8

4

6

Explanation :
No Explanation available for this question

# The locus of point of intersection of orthogonal tangents to the ellipse [(x-1)2/16]+[(y-2)2/9]=1 is

1.  (x-1)2+(y-2)2=25

2.  (x-1)2+(y-2)2=7

3.  (x+1)2+(y+2)2=25

4.  (x+1)2+(y+2)2=7

4

(x-1)2+(y-2)2=25

Explanation :
No Explanation available for this question

# If the line x+ky-5=0 is a tangent to 4x2+9y2=20 then the value of k is

1.

2.

3.

4.

4

Explanation :
No Explanation available for this question

# The pole of the straight line x+4y=4 with respect to the ellipse x2+4y2=4 is

1.  (1,4)

2.  (4,1)

3.  (4,4)

4.  (1,1)

4

(1,1)

Explanation :
No Explanation available for this question

# If 3x-2y+4=0 and 2x+5y+k=0 are conjugate lines w.r to the ellipse 9x2+16y2=144 then the value of k is

1.  5/2

2.  -5/2

3.  7/2

4.  3/2

4

3/2

Explanation :
No Explanation available for this question

1.  -8

2.  -6

3.  8

4.  6

4