# If p and q are the lengths of the perpendiculars from the origin on the tangent and the normal to the curve x2/3+y2/3=a2/3, then 4p2+q2 =

1.  a

2.  a2

3.   2a2

4.  5a2

4

a2

Explanation :
No Explanation available for this question

# If the tangent at any point on the curve x4+y4=a4 cuts off intercepts  p and q on the coordinates axes then p-4/3+q-4/3=

1.  a-4/3

2.  a-1/2

3.  a1/2

4.   a

4

a-4/3

Explanation :
No Explanation available for this question

# The sum of the square of the intercepts on the coordinates axes of any tangent to x2/3+y2/3=a2/3 is

1.  a2

2.  a2/2

3.  2a2

4.  3a2

4

a2

Explanation :
No Explanation available for this question

# If the tangent at any point on the curve x1/3+y1/3=a1/3(a>0) cuts of intercepts p and q on the coordinate axes then √p+√q=

1.  √a

2.  3√a

3.  2√a

4.  2√a

4

√a

Explanation :
No Explanation available for this question

# If the sum of the square of the intercepts on the axes cut off by the tangent to the curve x1/3+y1/3=a1/3(a>0) at (a/8, a/8) is 2, then a has the value

1.  1

2.   2

3.  4

4.  8

4

4

Explanation :
No Explanation available for this question

# If the tangent at the point (at2, at3) on the curve ay2=x3 meets the curve again at Q, then Q=

1.  (at2/4, -at3/8)

2.  (at/4, 8at)

3.  (at/2, 2at2)

4.  (at/2, at2)

4

(at2/4, -at3/8)

Explanation :
No Explanation available for this question

# If the tangent at (1, 1) on y2=x(2-x)2 meets the curve again at P, then P is

1.  (4, 4)

2.  (-1, 2)

3.  (9/4, 3/8)

4.  none

4

(9/4, 3/8)

Explanation :
No Explanation available for this question

# If the tangent at P to the curve xy=c2 meets the axes at A, B then P divides AB in the ratio

1.  1:2

2.  1:1

3.  2:5

4.  3:5

4

1:1

Explanation :
No Explanation available for this question

# The area of the triangle formed by the tangent to the curve xy=a2 at any point on the curve, with the coordinate axes is

1.  a2

2.  2a2

3.  4a2

4.   8a2

4

2a2

Explanation :
No Explanation available for this question

1.  2  sq. units

2.  4 sq. units

3.  8 sq. unit

4.  7/2 sq. unit

4