Download App

MATHS M.C.Q (1 Marks)

PART - 2 CH - 10 Conic Sections · Rajasthan Board (RBSE) STD 11 Science (Rajasthan - English Medium). 20 questions.

Questions

M.C.Q (1 Marks)

Take a timed test

20 questions · auto-graded multiple-choice test.

MCQ 11 Mark
What is the equation of the circle having centre at $(-3,2)$ and radius 3 ?
  • A
    $(x-3)^2+(y+2)^2=16$
  • ✓
    $(x+3)^2+(y-2)^2=16$
  • C
    $(y+2)^2-(x-3)^2=16$
  • D
    $(x-3)^2-(y+2)^2=16$
Answer
Correct option: B.
$(x+3)^2+(y-2)^2=16$
B
View full question & answer→
MCQ 21 Mark
Write the equation of the circle having centre at $(0,0)$ and radius $a$ :
  • A
    $x^2-y^2=a^2$
  • ✓
    $x^2+y^2=a^2$
  • C
    $y^2-x^2=a^2$
  • D
    $x^2+y^2+a^2=0$
Answer
Correct option: B.
$x^2+y^2=a^2$
B
View full question & answer→
MCQ 41 Mark
The coordinates of foci of hyperbola $4 x^2-9 y^2=3$ is :
  • ✓
    $( \pm \sqrt{13}, 0)$
  • B
    $(0, \pm \sqrt{13})$
  • C
    $\left( \pm \frac{\sqrt{13}}{3}, 0\right)$
  • D
    $\left(0, \pm \frac{\sqrt{13}}{3}\right)$
Answer
Correct option: A.
$( \pm \sqrt{13}, 0)$
A
View full question & answer→
MCQ 51 Mark
The coordinates of foci of ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1(b>a)$ :
  • A
    $( \pm a e, 0)$
  • B
    $( \pm b e, 0)$
  • C
    $(0, \pm a e)$
  • ✓
    $(0, \pm b e)$
Answer
Correct option: D.
$(0, \pm b e)$
D
View full question & answer→
MCQ 71 Mark
The equation of directrix of parabola $x^2=-8 y$ is :
  • A
    $y=-2$
  • ✓
    $y=2$
  • C
    $x=2$
  • D
    $x=-2$
Answer
Correct option: B.
$y=2$
B
View full question & answer→
MCQ 81 Mark
If $(x, 3)(3,5)$ be the ends of the diameter of a circle having centre at $(2, y)$, values of $x$ and $y$ are :
  • ✓
    $x=1, y=4$
  • B
    $x=4, y=1$
  • C
    $x=5 / 2, y=1$
  • D
    $x=8, y=2$
Answer
Correct option: A.
$x=1, y=4$
A
View full question & answer→
MCQ 101 Mark
The eccentricity of rectangular hyperbola $9 x^2-16 y^2$ $=144$ is :
  • A
    1
  • B
    0
  • C
    $\frac{5}{16}$
  • ✓
    $\frac{5}{4}$
Answer
Correct option: D.
$\frac{5}{4}$
D
View full question & answer→
MCQ 141 Mark
If a parabola $y^2=4 a x$ passes through point $(-3,2)$ then length of latus rectum is given by :
  • ✓
    $\frac{4}{3}$
  • B
    $\frac{4}{5}$
  • C
    $\frac{1}{3}$
  • D
    5
Answer
Correct option: A.
$\frac{4}{3}$
A
View full question & answer→
MCQ 151 Mark
Equation of latus rectum of parabola $x^2+12 y=0$ is :
  • A
    $y+12=0$
  • B
    $y-12=0$
  • C
    $y-3=0$
  • ✓
    $y+3=0$
Answer
Correct option: D.
$y+3=0$
D
View full question & answer→
MCQ 161 Mark
If vertex of a parabola is at origin and directrix is $y+$ $4=0$ then its equation is given by :
  • A
    $y^2=16 x$
  • ✓
    $x^2=16 y$
  • C
    $x^2=-16 y$
  • D
    $y^2=-16 x$
Answer
Correct option: B.
$x^2=16 y$
B
View full question & answer→
MCQ 171 Mark
If the length of the double ordinate of parabola $x^2=$ $8 y$, then its ends will be :
  • A
    $(4,2),(4,-2)$
  • ✓
    $(2,4),(2,-4)$
  • C
    $(4,2),(-4,2)$
  • D
    $(-2,-4),(2,4)$
Answer
Correct option: B.
$(2,4),(2,-4)$
B
View full question & answer→
MCQ 181 Mark
Centre of the circle $x^2+y^2-10 x+16 y+6=0$ is at :
  • A
    $(0,5)$
  • B
    $(5,0)$
  • ✓
    $(5,-8)$
  • D
    $(8,-5)$
Answer
Correct option: C.
$(5,-8)$
C
View full question & answer→
MCQ 191 Mark
The length of latus rectum of hyperbola $x^2-4 y^2=4$ will be:
  • A
    4
  • B
    $\frac{1}{4}$
  • ✓
    1
  • D
    2
Answer
Correct option: C.
1
C
View full question & answer→
MCQ 201 Mark
Equation of directrix for parabola $y^2=12 x$ is :
  • A
    $x=3$
  • B
    $y=3$
  • ✓
    $x=-3$
  • D
    $y=-3$
Answer
Correct option: C.
$x=-3$
C
View full question & answer→
Generate Paper FreeAll PART - 2 CH - 10 Conic Sections topics