Position of a Line W.R.T Hyperbola
Trending Questions
Q.
The line y = mx + c becomes a tangent to the hyperbola x2a2 − y2b2 = 1, then the value of c is
± √a2m2+b2
± √a2m2−b2
± √a2m2+a2
± √a2m2−a2
Q. LOLOq-pthe line 3x-4y + 5 =0 is a tangent to the parabola y2 = 4ax, then a is equal to
Q.
The tangent of the angle which the part of the line above the X-axis makes with the positive direction of the X-axis is:
Perpendicular line
Parallel line
Slope of a line
Concurrent line
Q. Tangent to the ellipse x^2 + 4 y^2=1 makes angle 60 degrees with the focal distance of the point of contact , then the square of the slope of the tangent is
(A)1 (B)2
(C)3 (D)none of these
Q. The value(s) of λ for which the line y=2x+λ touches the hyperbola 16x2−9y2=144 is / are :
- √5
- -√5
- 2√5
- −2√5
Q. 28. let alfa be the angle which is tangent to the perabola yy=4ax makes its axis , the distance between the tangent and a perallel normal will be
Q. Show that the sum of intercepts of tangent to curve x+y =a on the coordinate axes is constant
Q. The ellipse 4x2+9y2=36 and the hyperbola 4x2−y2=4 have the same food and they intersect at right angles then the equation of the circle through the points of intersection of two conics is
- x2+y2=5
- x2+y2=25
- √5(x2+y2)+3x+4y=0
- √5(x2+y2)−3x−4y=0
Q. 78.The eq of the parabola whose focus is the point(00) and the tangent ay the vertix is x-y+1=0 is
Q. If A(θ) and B(ϕ) are the parametric ends of a chord of hyperbola x216−y29=1 which passes through (4, 0), then the value of tanθ2⋅tanϕ2is
- 1
- 0
- 2
- −1
Q. The equation of common tangent to the curves y^2=8x and xy=-1 is
Q. Tangent to the ellipse x^2 + 4 y^2=1 makes angle 60 degrees with the focal distance of the point of contact , then the square of the slope of the tangent is
(A)1 (B)2
(C)3 (D)none of these
Q.
The slope
of a line is double of the slope of another line. If tangent of the
angle between them is,
find the slopes of he lines.