# If the polar of pw.r.t y2 = 4ax touches the circle x2 + y2 = 4a2, then the locus of P is

1.  X2 – y2 = 4a2

2.  X2 – y2 = 2a2

3.  X2 – y2 = a2

4.  None

4

X2 – y2 = 4a2

Explanation :
No Explanation available for this question

# The chord of contact of a point P to the y2 = 4ax touch the circle x2 + y2 = r2 the locus of P is

1.  4a2x2 = r2 (y2 +4a2)

2.  A2 r2 = 2r2 (y2 – 4a2)

3.  2a2 x2 = 2r2 (y2 + 2a2)

4.  4a2x2 = r2 (y2 – 4a2)

4

4a2x2 = r2 (y2 +4a2)

Explanation :
No Explanation available for this question

# The range ofis

1.  (-∞,0](1,∞)

2.  [1/2,2]

3.  (-∞,-2/9](1,∞)

4.  (-∞,-6][-2,∞)

4

(-∞,0](1,∞)

Explanation :
No Explanation available for this question

# The locus of the point, for which the chord of contact w.r.t  y2 = 4ax subtends a right angle at the vertex of the parabola is

1.  X + 2a = 0

2.  X + 4a = 0

3.  Y + 2a = 0

4.  Y+ 4a = 0

4

X + 4a = 0

Explanation :
No Explanation available for this question

# The locus of poles f chords of the parabola y2 = 4ax which are at a constantdistance d from the vertex is

1.  A2x2 + 4a2 (d2 – y2) = 0

2.  D2 y2 + 4a2 (d2 –x2) = 0

3.  D2 y2 + 2a2 (3d2 – 2x2) = 0

4.  X2 + 2a2 (d2 + 2x2 ) = 0.

4

D2 y2 + 4a2 (d2 –x2) = 0

Explanation :
No Explanation available for this question

# The range ofis

1.  (-∞,0](1,∞)

2.  [1/2,2]

3.  (-∞,-2/9](1,∞)

4.  (-∞,-6][-2,∞)

4

[1/2,2]

Explanation :
No Explanation available for this question

# a chord of the parabola y2 = 4ax subtends a right angle at the vertex.The tangents at the extremeties of  the chord interest on

1.  X+ a = 0

2.  X + 2a = 0

3.  X + 4a = 0

4.  None

4

X + 4a = 0

Explanation :
No Explanation available for this question

# The equation of the chord of the parabola y2 = 2x having (1,1) as its midpoint is

1.  X + y = 0

2.  X – y = 0

3.  X – y + = 0

4.  2x – y = 0

4

X – y = 0

Explanation :
No Explanation available for this question

# The midpoint of the chord 2x – y-2 = 0 of the parabola y2 = 8x is

1.  (1,0)

2.  (2,2)

3.  (3,4)

4.  (0,-2)

4

(2,2)

Explanation :
No Explanation available for this question

# The range ofis

1.  [-9/2,1/2]

2.  (-∞,1][2,∞)

3.  (-∞,-9][-1,∞)

4.  R

4