# If CF is drawn perpendicular to the normal at P and if the normal at P meets the major axis at G, then PF. PG=

1.  a2

2.  b2

3.  2a2

4.  2b2

4

b2

Explanation :
No Explanation available for this question

# The ordinate PN of P(a cos θ, b sin θ) on the ellipse x2/a2+y2/b2=1 meets the auxiliary circle at Q,. The locus of the point of intersection of normal at P and Q is

1.  x2+y2=(a+b)2

2.  x2+y2=(a-b)2

3.  x2-y2=(a+b)2

4.  x2-y2=(a-b)2

4

x2+y2=(a+b)2

Explanation :
No Explanation available for this question

# If the tangent at θ to the ellipse x2/a2+y2/b2=1 meets the major axis T, C is the centre and PN is the perpendicular on major axis, then the value of CN, CT is

1.  a2

2.  b2

3.  2a2

4.  2b2

4

a2

Explanation :
No Explanation available for this question

1.  1

2.  1/2

3.  2/3

4.  3/2

4

2/3

Explanation :
No Explanation available for this question

# If the tangent at a point P(a cos θ, b sin θ) to the ellipse x2/a2+y2/b2=1 meets the minor axis in Q, PR is the perpendicular on the minor axis and C the centre, then the va

1.  a2

2.  b2

3.  2a2

4.  2b2

4

b2

Explanation :
No Explanation available for this question

# The locus of the poles of normal chords of the ellipse x2/a2+y2/b2=1 is

1.  x2/a6+y2/b6=(a2+b2)2

2.  x2/a6+y2/b6=(a2-b2)2

3.  a6/x2+b6/y2=(a2+b2)2

4.  a6/x2+b6/y2=(a2-b2)2

4

a6/x2+b6/y2=(a2-b2)2

Explanation :
No Explanation available for this question

# If (2,4), (2,6) are two vertices of an equilateral triangle then the third vertex is

1.  (2+√3,5)

2.  (√3-2,5)

3.  (5,2+√3)

4.  (5,2-√3)

4

(2+√3,5)

Explanation :
No Explanation available for this question

1.  1/2

2.  0

3.  -1

4.  -1/2

4

1/2

Explanation :
No Explanation available for this question

# If (2,4), (4,2) are the extremities of the hypotenuse of a right angled isosceles triangle, then the third vertex is

1.  (2,2) or (4,4)

2.  (3,3) or (4,4)

3.  (2,2) or (3,3)

4.  (2,3) or (3,2)

4

(2,2) or (4,4)

Explanation :
No Explanation available for this question

1.  4

2.

3.

4.

4