Math Class 12 New Book Chapter 7 MCQs Federal Board
Math Class 12 New Book Chapter 7 MCQs Federal Board
(i) The eccentricity is the ratio of distance of a point on the conic section from:
a) Focus to directrix
b) Directrix to focus
b) Vertex to directrix
d) Directrix to vertex
Correct option is (a)
========================================
(ii) Eccentricity of circle is:
a) e > 1
b) e < 1
c) e = 1
d) e = 0
Correct option is (d)
========================================
(iii) The focus of the parabola
$$x^2=-16y$$ is:
a) ( 4, 0 )
b) ( -4, 0 )
c) ( 0, 4 )
d) ( 0, -4 )
Correct option is (d)
========================================
(iv) Length of the latus rectum of the ellipse
$$\frac{x^2}{16}+\frac{y^2}9=1$$ is:
$$a)\;\frac{32}9\\b)\;\frac9{32}\\c)\;\frac92\\d)\;\frac89$$
Correct option is (c)
========================================
(v) Equation of the directrices of ellipse
$$\frac{x^2}{16}+\frac{y^2}{36}=1$$ is:
$$a)\;y=\pm\frac{18}{\sqrt5}\\b)\;y=\pm\frac{\sqrt5}{18}\\c)\;x=\pm\frac{18}{\sqrt5}\\d)\;x=\pm\frac{\sqrt5}{18}$$
(vi) Eccentricity of the hyperbola
$$\frac{x^2}{25}-\frac{y^2}{81}=1$$ is:
$$a)\;\frac5{\sqrt{106}}\\b)\;\frac{\sqrt{106}}5\\c)\;\frac{\sqrt{106}}9\\d)\;\frac9{\sqrt{106}}$$
Correct option is (b)
========================================
(vii) Equation of conjugate axis of the hyperbola
$$\frac{{(x-1)}^2}4-\frac{{(y+3)}^2}{12}=1$$
a) x = 1
b) x = -1
c) y = 3
d) y = -3
Correct option is (a)
========================================
(viii) Length of the tangent drawn from the point (1, 2) to the circle
$$2x^2+2y^2+3x+2y-6=0$$ is:
$$a)\;11\\b)\;\sqrt{11}\\c)\;\frac{11}2\\d)\;\sqrt{\frac{11}2}$$
Correct option is (d)
========================================
(ix) The chord joining the two points
$$(at_1^2,\;2at_1)\;and\;(at_2^2,\;2at_2)$$ on the parabola
$$y^2\;=\;4ax$$ is focal chord if:
$$a)\;t_1\;+\;t_2\;=\;1\\b)\;t_1\;+\;t_2\;=\;-1\\c)\;t_1\;t_2\;=\;1\\d\;t_1\;t_2\;=-1$$
Correct option is (d)
========================================
(x) Exactly one tangent can be drawn to a circle if point lies:
a) outside the circle
b) on the circle
c) inside circle
d) centre of circle
Correct option is (b)
========================================
We give some important link below
