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Trending Questions
Q. The tangent to the parabola y2=4x at the point where it intersects the circle x2+y2=5 in the first quadrant, passes through the point :
- (−13, 43)
- (−14, 12)
- (34, 74)
- (14, 34)
Q.
The equation of the tangent at (x1, y1) to a curve y2=4ax at a point (x1, y1) is given by yy1=2a(x+x1)
True
False
Q.
A tangent to the parabola y2=4ax meets x axis at a point T. This tangent meets the tangent at the vertex at point P. If rectangle TAPQ is completed then the locus of Q is.
Circle
Straight line
parabola
Ellipse
Q. If the eccentricity of the standard hyperbola passing through the point (4, 6) is 2, then the equation of the tangent to the hyperbola at (4, 6) is :
- 3x−2y=0
- 2x−y−2=0
- 2x−3y+10=0
- x−2y+8=0
Q. If the eccentricity of the standard hyperbola passing through the point (4, 6) is 2, then the equation of the tangent to the hyperbola at (4, 6) is :
- 3x−2y=0
- 2x−y−2=0
- 2x−3y+10=0
- x−2y+8=0
Q.
Find the equation of tangent to parabola y2=4ax at(at2, 2at)
ty=x+at2
y=tx+at2
yat2=x+t
y+tx=at2