Find the value of k so that the line 2x + y + k = 0 may touch the hype – McqOptions

MCQOPTIONS

1.	Find the value of k so that the line 2x + y + k = 0 may touch the hyperbola 3x2 -y2 = 3
A.	k = 1, -1
B.	k = 1
C.	k = 0
D.	k = -2
Answer» B. k = 1

Discussion

No Comment Found

Related MCQs

For the curve \(\rm \dfrac{a^2}{x^2}-\dfrac{b^2}{y^2}=1\), the asymptotes parallel to y-axis are -
If y + b = m1(x + a) and y + b = m2(x + a) are the equations of the two tangents to the parabola y2 = 4ax, then
Find the number of point(s) of intersection of the ellipse \(\rm \dfrac{x^2}{4} + \dfrac{(y-1)^2}{9}=1\) and the circle x2 + y2 = 4.
If the parabola y2 = 4ax passes through the point (2, 4), then the focus of parabola is ?
Find the value of k so that the line 2x + y + k = 0 may touch the hyperbola 3x2 -y2 = 3
If S and S' are foci of the ellipse \(\frac {x^2}{a^2} + \frac {y^2}{b^2} = 1,\) B is the end of the minor axis and BSS' is an equilateral triangle, then the eccentricity of the ellipse is
If the graph of y = (x - 2)2 - 3 is shifted by 5 units up along y-axis and 2 unit to the right along the x-axis, then the equation of the resultant graph is ?
If the straight line x cosα + y sinα = p is tangent to the ellipse \(\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1\). then
If the line x - 1 = 0 is the directrix of the parabola y2 - kx + 8 = 0, then one of the values of k is
In the parabola, y2 = x, what is the length of the chord passing through the vertex and inclined to the x-axis at an angle θ?