# The eccentricity of the ellipse 9x2+16y2=144 is:

1.  -4/√7

2.  2/√7

3.  √7/4

4.  √7/3

4

&#8730;7/4

Explanation :
No Explanation available for this question

# An ellipse has one of the focus at (4, 0) and its eccentricity is 4/5. The equation of ellipse is:

1.  (x2/25)+(y2/9)=1

2.  (x2/9)+(y2/25)=1

3.  (x2/5)+(y2/4)=1

4.  (x2/4)+(y2/5)=25

4

(x2/25)+(y2/9)=1

Explanation :
No Explanation available for this question

# Radius of the director circle of the hyperbola (x2/81) - (y2/36) = 1 is

1.  2√5

2.  √5

3.  3√5

4.  √5/2

4

3&#8730;5

Explanation :
No Explanation available for this question

1.  3/2

2.  2/3

3.  -3/2

4.  -2/3

4

3/2

Explanation :
No Explanation available for this question

# Given that the function 'f' defined by:

1.  2

2.  3

3.  4

4.  -3

4

3

Explanation :
No Explanation available for this question

# If ex-y=xy,then dy/dx=

1.  logx/(1+logx)2

2.  (1-x)/(y+xlogy)

3.  (x-y)/xlogey

4.  -logx/(1+logx)2

4

(x-y)/xlog<sub>e</sub>y

Explanation :
No Explanation available for this question

1.  (2/3)tan-1(√x)

2.  (2/3)tan-1(√x/3)

3.  tan-1(√x)

4.  (2/3)tan-1(√x/3)

4

tan-1(√x)

Explanation :
No Explanation available for this question

# The length of subnormal at (-1, 4) on the curve y = 4x2, is:

1.  4

2.  8

3.  16

4.  32

4

16

Explanation :
No Explanation available for this question

# The length of subtangent (if exist) at any point 'θ' on the ellipse (x2/a2)+(y2/b2)=1 is:

1.  a|sinθ|sec2θ

2.  asinθ|secθ|

3.  a|sinθcosθ|

4.  asin2θ|secθ|

4

asin<sup>2</sup>&#952;|sec&#952;|

Explanation :
No Explanation available for this question

1.  tan-1(1/3)

2.  tan-1(3)

3.  tan-1(1/2)

4.  tan-1(2/3)

4