Equations of the latus rectum of the ellipse 9x2 + 4y2 - 18x - 8y - 23= 0 are :

1.  y = √5

2.  x = √5

3.  y = 1 √5

4.  y = -1√5

4

y = 1 &#8730;5

Explanation :
No Explanation available for this question

The sides of the rectangle of greatest area that can be inscribed in the ellipse x2 + 4y2 = 64 are :

1.  ( 6√2, 4√2 )

2.  ( 8√2, 4√2 )

3.  ( 8√2, 8√2 )

4.  ( 16√2, 4√2 )

4

( 8&#8730;2, 4&#8730;2 )

Explanation :
No Explanation available for this question

If the eccentricity of a hyperbola is √3; then the eccentricity of its conjugate hyperbola is :

1.  √2

2.  √3

3.  √3/2

4.  2√3

4

&#8730;3/2

Explanation :
No Explanation available for this question

The polar equation of the circle with centre(2, π/2) and radius 3 units is :

1.  r2 + 4r cos ѳ = 5

2.  r2 + 4r sin ѳ = 5

3.  r2 - 4r sin ѳ = 5

4.  r2 - 4r cos ѳ = 5

4

r<sup>2</sup> - 4r sin &#1139; = 5

Explanation :
No Explanation available for this question

If xy = yx, then x (x - y log x)dy/dx is equal to :

1.  y ( y - x log y )

2.  y ( y + x log y )

3.  x ( x - y log x )

4.  x ( y - x log y )

4

y ( y - x log y )

Explanation :
No Explanation available for this question

f(x) = ex sin x, then f(6)(x) is equal to :

1.  e6x sin 6x

2.  -8ex cos x

3.  8ex sin x

4.  8ex cos x

4

-8e<sup>x</sup> cos x

Explanation :
No Explanation available for this question

1.  e

2.  p

3.  q

4.  0

4

q

Explanation :
No Explanation available for this question

1.  α

2.  1/2

3.  4

4.  1

4

1

Explanation :
No Explanation available for this question

1.  5, -4

2.  -5, -4

3.  -4, 3

4.  4, 5

4

-4, 3

Explanation :
No Explanation available for this question

1.  l1 < l2 < l3

2.  l2 < l3 < l1

3.  l3 < l2 < l1

4.  l1 < l3 < l2

4