Chord of Contact
Trending Questions
Q.
The locus of the centre of a circle, which touches externally the circle and also touches the y-axis, is given by the equation:
Q. The point of intersection of the tangents of the parabola y2=4x, drawn at end points of the chord x+y=2 lies on
- x+2y=0
- x−2y=0
- x+y=0
- y−x=0
Q. Tangents are drawn from each point on the line 2x+y=4 to the circle x2+y2=1.The chords of contact pass through the point
- (−12, −14)
- (−12, 14)
- (12, −14)
- (12, 14)
Q. The equation of the circle circumscribing a triangle formed by points (0, 0), (1, 0) and (0, 1) is
- x2+y2−x−y−2=0
- x2+y2+x−y+2=0
- x2+y2+x+y=0
- x2+y2−x−y=0
Q. The length of chord of contact of the point (3, 6) with respect to the circle x2+y2=10 is
- √5
- 6√5
- 2√703
- 12√5
Q. Find the locus of the middle points of chords of the parabola which pass through each point of the straight line x=my+h is drawn the chord of the parabola y2=4ax which is bisected at the point; prove that it always touches the parahola
(y+2am)2=8a(x−h).
(y+2am)2=8a(x−h).
Q. Find the area of the figure bounded by the following curves
y=2+sinx, y=1.+cos2x, x=0.x?
y=2+sinx, y=1.+cos2x, x=0.x?
Q. Locus of the point of intersection of tangents at the end points of normal chord of the parabola y2=4ax is
- xy2+2a(4a2+y2)=0
- xy2+a(2a2+y2)=0
- xy2=2a(2a2+y2)
- xy2=a(2a2+y2)