The angles of elevation of a flying kite at three points A,B,C on a horizontal line are in the ratio 1:2:3. If AB=a, BC=b, then the height of the kite is

1.  

2.  

3.  

4.  

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4
Correct Answer :


Explanation :
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1.  0

2.  n

3.  1/n

4.  

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4
Correct Answer :

1/n


Explanation :
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An observer finds that the angular elevation of a tower is θ. On advancing ‘a’ metres towards the tower, the elevation is 450 and on advancing b metres the elevation is 900-θ. The hei

1.  ab/(a+b)metres

2.  ab/(a-b)

3.  (a-b)/ab

4.  (a+b)/ab

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4
Correct Answer :

ab/(a-b)


Explanation :
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The equation of the tangent point θ=3π/4 to the ellipse x2/16+y2/9=1 is

1.  3x+4y+12√2=0

2.  3x+4y-12√2=0

3.  3x-4y+12√2=0

4.  3x-4y-12√2=0

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4
Correct Answer :

3x-4y+12√2=0


Explanation :
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The equation of the normal to the ellipse x2/16+y2/9=1 at the point whose eccentric angle 0=π/6 is

1.  5x-3y=8√2

2.  8x-6√3y=7√3

3.  6x+√2y=2√2

4.  2x+3√3y=12

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4
Correct Answer :

8x-6√3y=7√3


Explanation :
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The tangent and normal to the ellipse 4x2+9y2 =36 at a point P on it meets the major axis in Q nd R respectively. If QR=4, then the eccentric angle of P is

1.  Cos-1 3/5

2.  Cos-1 2/3

3.  Cos-1 1/3

4.  Cos-1 1/5

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4
Correct Answer :

Cos-1 3/5


Explanation :
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A flagstaff of height (a-b) stands on the top of a tower subtends the same angle at points on the horizontal plane through the foot of the tower which are at distance a and b from the tower. The height of the tower is

1.  b

2.  a+b

3.  a

4.  none

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4
Correct Answer :

b


Explanation :
No Explanation available for this question

The distance of the point on the ellipse x2/6+y2/2=1 from the centre is 2. The eccentric angle of the point is

1.  π/3

2.  2π/3

3.  π/4

4.  π/6

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4
Correct Answer :

π/4


Explanation :
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The eccentric angles of the extremities of latusrecta of the ellipse x2/a2+y2/b2=1 is

1.  Tan-1(±b/ae)

2.  sin-1(±b/ae)

3.  cos-1(±b/ae)

4.  sec-1(±b/ae)

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4
Correct Answer :

Tan-1(±b/ae)


Explanation :
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At the point horizontal to the foot of a mountain, the angle of a elevation of its summit is found to be α. After ascending a meters towards the mountain up a top of inclination β, the angle of elevation is found to be

1.  

2.  

3.  

4.  

View Answer  
4
Correct Answer :


Explanation :
No Explanation available for this question
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