If tan(π/4 + θ)+tan(π/4- θ)=a then  tan3 (π/4+ θ)+ tan3 (π/4- θ)=

1.  0

2.  a

3.  3a

4.  a3-3a

4

a3-3a

Explanation :
No Explanation available for this question

If the area of the triangle, include between the axes and any tangent to the curve xyn =an+1 is constant, then the value of n is

1.   -1

2.   -2

3.  1

4.   2

4

1

Explanation :
No Explanation available for this question

The area of the triangle formed by the normal to the curve x=esiny at (1, 0) with the coordinate axes is

1.   1/4

2.  1/2

3.   3/4

4.  1

4

1/2

Explanation :
No Explanation available for this question

The area of the triangle formed by the tangent and the normal at the point (a, a) on the curve y2=x3/2a-x and the line x=2a is

1.  a2 /4

2.  a2 /2

3.  5a2/4

4.  9a2/4

4

5a2/4

Explanation :
No Explanation available for this question

Area of the triangle formed by the tangent, normal to the curve x2/a2+y2/b2=1 at the point                &nbs

1.  ab/4√a2+b2

2.  4ab

3.  b/4a (a2+b2)

4.  None

4

b/4a (a2+b2)

Explanation :
No Explanation available for this question

Area of the triangle formed by the tangent, normal at (1, 1) on the curve √x+√y=2 and the x-axis is

1.  1sq.unit

2.  2sq.units

3.  1/2sq. units

4.  4sq.units

4

1sq.unit

Explanation :
No Explanation available for this question

Area of the triangle formed by the tangent, normal at  (a, a) on y (2a-x)=x2 and the x-axis is

1.  a2 /3

2.   5a2

3.  5a2/3

4.  None

4

5a2/3

Explanation :
No Explanation available for this question

The point of intersection of the tangents drawn to the curve x2y=1-y at the points where it is intersected by the curve xy=1-y is

1.  (0, 1)

2.   (1, 1/2)

3.  (0, -1)

4.  (1/2, 1)

4

(0, 1)

Explanation :
No Explanation available for this question

The two curves y=x2+1, y=3x2-4x+3 at (1, 2)

1.  Touch each other

2.  Cut orthogonally

3.  Cut at an angle of 450

4.  None

4

Touch each other

Explanation :
No Explanation available for this question

The two curves y=x-3, y=e3(1-x) at (1, 1)

1.  Touch each other

2.  Cut orthogonally

3.  Cut at an angle of 450

4.  None

4