Conic Sections

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Question

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Question 1 :

The locus of the point from which the tangent to the circles x² + y² – 4 = 0 and x² + y² – 8x + 15 = 0 are equal is given by the equation

1. 8x + 19 = 0
2. 8x – 19 = 0
3. 4x – 19 = 0
4. 4x + 19 = 0
Answer
8088

Question 2 :

The perpendicular distance from the point (3, -4) to the line 3x – 4y + 10 = 0

1. 7
2. 8
3. 9
4. 10
Answer
8089

Question 3 :

A man running a race course notes that the sum of the distances from the two flag posts from him is always 10 meter and the distance between the flag posts is 8 meter. The equation of posts traced by the man is

1. x²/9 + y²/5 = 1
2. x²/25 + y²/9 = 1
3. x²/5 + y²/9 = 1
4. x²/9 + y2 /25 = 1
Answer
8090

Question 4 :

The center of the ellipse (x + y – 2)² /9 + (x – y)² /16 = 1 is

1. (0, 0)
2. (0, 1)
3. (1, 0)
4. (1, 1)
Answer
8091

Question 5 :

The parametric coordinate of any point of the parabola y² = 4ax is

1.  (-at², -2at)
2. (-at², 2at)
3. (a sin²t, -2a sin t)
4. (a sin t, -2a sin t)
Answer
8092