The points of intersection of the asymptotes with the directrices lie on

1.  Director circle

2.  Auxiliary circle

3.  Circle on SS’ as diameter

4.  none

4

Auxiliary circle

Explanation :
No Explanation available for this question

The area of the triangle formed by any tangent to the hyperbola x2/a2-y2/b2=1 with its asymptotes is

1.  4a2b2

2.  a2b2

3.  4ab

4.  ab

4

ab

Explanation :
No Explanation available for this question

1.  π/6

2.  π/12

3.  π/2

4.  π/3

4

π/12

Explanation :
No Explanation available for this question

The area (in square units) of the equilateral triangle formed by the tangent at (√3, 0) to the hyperbola x2-3y2=3 with the pair of a asymptotes of the hyperbola is

1.  √2

2.  √3

3.  1/√3

4.  2√3

4

√3

Explanation :
No Explanation available for this question

The roots of x3+2x2-x-2=0 are

1.  0,0,2

2.  0,1,2

3.  -2,-1,1

4.  1,±i

4

-2,-1,1

Explanation :
No Explanation available for this question

The equation of the tangent to the hyperbola x2/9-y2/4=1 at the point θ=π/3 is

1.  4x+3√3y=6

2.  4x-3√3y=6 b) 4x-3√3y=6 c) 4x-2√3y=6 d) 4x-5√3y=4

3.  4x-2√3y=6

4.  4x-5√3y=4

4

4x-3√3y=6

b) 4x-3√3y=6

c) 4x-2√3y=6

d) 4x-5√3y=4

Explanation :
No Explanation available for this question

The equation of the normal to the hyperbola x2/25-y2/9=1 at the point θ=π/4 is

1.  5x+3√2y=34√2

2.  5x+√2y=4√2

3.  5x-2√2y=34√2

4.  5x+5√2y=35√2

4

5x+3√2y=34√2

Explanation :
No Explanation available for this question

The foot of the normal 3x+4y=7 to the hyperbola 4x2-3y2=1 is

1.  (1, 1)

2.  (1, -1)

3.  (-1, 1)

4.  (-1, -1)

4

(1, 1)

Explanation :
No Explanation available for this question

The roots of x3+x2-2x-2=0 are

1.  -1,±√2

2.  0,1,2

3.  -2,-1,1

4.  1,±i

4

-1,±√2

Explanation :
No Explanation available for this question

1.  2

2.  4

3.  6

4.  5

4