1.

2.

3.  α2x2+β2y2=1

4.  none of these

4

Explanation :
No Explanation available for this question

1.  0

2.  1

3.  2

4.  3

4

1

Explanation :
No Explanation available for this question

# The locus of mid point of focal chords of ellipse is:

1.

2.

3.  x2+y2=a2+b2

4.  none of these

4

Explanation :
No Explanation available for this question

# The area of the triangle formed by the lines x2+4xy+y2=0, x+y =1 is:

1.  √3 sq units

2.  2 sq units

3.  1 sq units

4.  √3/2 sq units

4

&#8730;3/2 sq units

Explanation :
No Explanation available for this question

# If a polar of a point on the circle x2+y2=a2 with respect to x2+y2=b2 touches the circle

1.  A.P

2.  H.P

3.  G.P

4.  none of these

4

G.P

Explanation :
No Explanation available for this question

# The co-ordinates of the ortho center of the triangle formed by the lines 2x2-3xy+y2=0 and x+y =1,are

1.  (1,1)

2.  (1/2,1/2)

3.  (1/3,1/3)

4.  (1/4,1/4)

4

(1/2,1/2)

Explanation :
No Explanation available for this question

# The pair of straight lines h(x2-y2) +pxy=0 bisects the angle between the pair ax2+2hxy+by2=0 the value of P is

1.  a-b

2.  b-a

3.  a+b

4.  -a-b

4

b-a

Explanation :
No Explanation available for this question

# The combined equation of the tangents to the parabola y2= 4ax from an external point A(x1,y1) is

1.  (y2-4ax)(y12-4ax1)=(yy1-2ax-2ax1)2

2.  y2-4ax=(yy1-2ax-2ax1)2

3.  y2-4ax=(yy1-2ax)2

4.  none of these

4

(y<sup>2</sup>-4ax)(y<sub>1</sub><sup>2</sup>-4ax<sub>1</sub>)=(yy<sub>1</sub>-2ax-2ax<sub>1</sub>)<sup>2</sup>

Explanation :
No Explanation available for this question

# The number of normals to the hyperbola from an external point is

1.  2

2.  4

3.  5

4.  6

4

4

Explanation :
No Explanation available for this question

# If PSP' is a focal chord of parabola y2= 4ax and SL is the semilatus rectum,then SP,SL,SP1are in

1.  A.P

2.  H.P

3.  G.P

4.  none of these

4