# A church tower AB standing on a level plane is surmounted by a spire BC of the same height as the tower. D is a point in AB such that AD=1/3AB. At a point on the plane 100 mt from the foot of the tower, the angles subtended by AD

1.  130 mt

2.  12 mt

3.  100 mt

4.  15 mt

4

100 mt

Explanation :
No Explanation available for this question

# The number of tangents to x2/25+y2/9=1 through (1, 1) is

1.  10

2.  1

3.  2

4.  3

4

10

Explanation :
No Explanation available for this question

# The sum of the slopes of the tangents to the ellipse x2/9+y2/4=1 drawn from the point (6, -2) is

1.  0

2.  3/4

3.  -6/7

4.  -8/9

4

-8/9

Explanation :
No Explanation available for this question

# The product of the slopes of the tangents to the ellipse 2x2+3y2=6 draw from the point (1, 2) is

1.  1

2.  2

3.  -1

4.  -2

4

-1

Explanation :
No Explanation available for this question

# If x1,x2,x3 are in A.P and y1,y2,y3 are in A.P. then the points (x1,y1),(x2,y2),(x3,y3)

1.  form a right angled triangle

2.  form an equilateral triangle

3.  form an isosceles triangle

4.  are collinear

4

are collinear

Explanation :
No Explanation available for this question

# The distance of three points on a pole from are in A.P. If the angles of elevation of these points from a point on the ground are α, β and γ, then cot α cot γ, cot γ cot α, cot α cot

1.  A.P

2.  G.P

3.  H.P

4.  none

4

A.P

Explanation :
No Explanation available for this question

# If any tangent to the ellipse x2/a2+y2/b2=1 intercepts equal lengths l on the axes then l=

1.  a2+b2

2.  √ a2+b2

3.  (a2+b2)2

4.  none

4

√ a2+b2

Explanation :
No Explanation available for this question

# The total number of real tangents that can be drawn to the ellipse 3x2+5y2=32 and 25x2+9y2=450 passing through (3, 5) is

1.  0

2.  2

3.  3

4.  4

4

3

Explanation :
No Explanation available for this question

# The equation to the director circle of the ellipse 2x2+3y2=6 is

1.  x2+y2=41

2.  x2+y2=25

3.  x2+y2=5

4.  x2+y2=43

4

x2+y2=5

Explanation :
No Explanation available for this question

1.  x2+y2=12

2.  x2+y2=18

3.  x2+y2=6

4.  x2+y2=30

4