MCQ 11 Mark
The line joining points $(1,0)$ and $(-2, \sqrt{3})$ makes an angle $\theta$ with $x$-axis, the value of $\tan \theta$ is :
- A
$\sqrt{3}$
- B
$-\sqrt{3}$
- C
$\frac{1}{\sqrt{3}}$
- ✓
$\frac{1}{-\sqrt{3}}$
AnswerCorrect option: D. $\frac{1}{-\sqrt{3}}$
View full question & answer→MCQ 21 Mark
The length of perpendicular drawn from origin $(0,0)$ to line $x \sec \theta+y \operatorname{cosec} \theta=a$ is given by :
- ✓
$a \sin \theta \cos \theta$
- B
$a \cos \theta \operatorname{cosec} \theta$
- C
$a \operatorname{cosec} \theta \sec \theta$
- D
$a$
AnswerCorrect option: A. $a \sin \theta \cos \theta$
View full question & answer→MCQ 31 Mark
If line passing through point $(4,3)$ and $(2, k)$ is perpendicular to the line $y=2 x+3$, then $k$ equals to :
View full question & answer→MCQ 41 Mark
The image of point $(3,8)$ in line $x+2 y-7=0$ is given by:
- A
$(-1,-4)$
- ✓
$(-3,-8)$
- C
$(1,-4)$
- D
$(3,8)$
AnswerCorrect option: B. $(-3,-8)$
View full question & answer→MCQ 51 Mark
Equation of line perpendicular to straight line $3 x-4 y$ $+7=0$ and passing through point $(1,-2)$ is given by :
- A
$4 x+3 y-2=0$
- ✓
$4 x+3 y+2=0$
- C
$4 x-3 y+2=0$
- D
$4 x-3 y-2=0$
AnswerCorrect option: B. $4 x+3 y+2=0$
View full question & answer→MCQ 61 Mark
Equation of line parallel to $3 x-4 y=7$ and passing through origin $(0,0)$ is given by :
- A
$3 x-4 y=1$
- ✓
$3 x-4 y=0$
- C
$4 x-3 y=1$
- D
$3 y-4 x=0$
AnswerCorrect option: B. $3 x-4 y=0$
View full question & answer→MCQ 71 Mark
Line $y=m x+10$ is perpendicular to line $2 x+3 y=9$, the value of $m$ is :
- ✓
$\frac{3}{2}$
- B
$\frac{2}{3}$
- C
$\frac{-3}{2}$
- D
$\frac{-2}{3}$
AnswerCorrect option: A. $\frac{3}{2}$
View full question & answer→MCQ 81 Mark
Equation of the line parallel to $3 x-4 y=7$ and passing through origin $(0,0)$ is given by :
- A
$3 x-4 y=1$
- ✓
$3 x-4 y=0$
- C
$4 x-3 y=1$
- D
$3 y-4 x=0$
AnswerCorrect option: B. $3 x-4 y=0$
View full question & answer→MCQ 91 Mark
The equation of line passing through origin $(0,0)$ and point $(a \cos \theta, a \sin \theta)$ is :
- A
$y=x \cos \theta$
- ✓
$y=x \tan \theta$
- C
$y=x \sin \theta$
- D
$y=x \cot \theta$
AnswerCorrect option: B. $y=x \tan \theta$
View full question & answer→MCQ 101 Mark
If lines $a_1 x-b_1 y+c_1=0$ and $a_2 x+b_2 y+c_2=0$ are mutually perpendicular then :
- A
$a_1 b_2+a_2 b_1=0$
- B
$a_1 a_2+b_1 b_2=0$
- C
$a_1 b_2-a_2 b_1=0$
- ✓
$a_1 a_2-b_1 b_2=0$
AnswerCorrect option: D. $a_1 a_2-b_1 b_2=0$
View full question & answer→MCQ 111 Mark
The equation of line passing through point $(1,-1)$ and parallel to line $2 x-3 y=5$ is given by :
- A
$2 x+3 y=-1$
- B
$3 x+2 y=1$
- ✓
$2 x-3 y=5$
- D
$2 x-3 y=1$
AnswerCorrect option: C. $2 x-3 y=5$
View full question & answer→MCQ 121 Mark
Point at lines $3 y+x-10=0$ and $2 x-5 y+13=0$ is:
- A
$(0,0)$
- B
$(6,5)$
- C
$(4,2)$
- ✓
$(1,3)$
AnswerCorrect option: D. $(1,3)$
View full question & answer→MCQ 131 Mark
The distance between lines $4 x-3 y+8=0$ and $3 y$ $-4 x-6=0$ is given by :
- A
- B
- C
$\frac{14}{5}$
- ✓
$\frac{2}{5}$
AnswerCorrect option: D. $\frac{2}{5}$
View full question & answer→MCQ 141 Mark
If lines $y=m x+c$ and $x=m y+c$ are mutually perpendicular then the value of $m$ is :
View full question & answer→MCQ 151 Mark
If lines $y=m x+5$ and $3 x+5 y=8$ are mutually perpendicular then the value of $m$ is :
- ✓
$\frac{5}{3}$
- B
$-\frac{5}{3}$
- C
$-\frac{3}{5}$
- D
$\frac{3}{5}$
AnswerCorrect option: A. $\frac{5}{3}$
View full question & answer→MCQ 161 Mark
The length of perpendicular drawn from origin on line $x+\sqrt{3 y}=1$ is $p$. The value of $p$ is:
- A
$\frac{1}{4}$
- ✓
$\frac{1}{2}$
- C
$\frac{\sqrt{3}}{2}$
- D
AnswerCorrect option: B. $\frac{1}{2}$
View full question & answer→MCQ 171 Mark
Line $x=3, y=4$ and $4 x-3 y+a=0$ are coincidence, then the value of $a$ is :
View full question & answer→MCQ 181 Mark
The point of intersection of straight lines $x+y-5=$ 0 and $y+2 x-1=0$ is given by:
- A
$(4,1)$
- B
$(1,1)$
- ✓
$(-4,9)$
- D
$(6,-1)$
AnswerCorrect option: C. $(-4,9)$
View full question & answer→MCQ 191 Mark
The slope of $y$-axis is :
AnswerCorrect option: C. $\infty$
View full question & answer→MCQ 201 Mark
The equation of line passing through point of intersection of lines $a x+2 b y+3 b=0$ and $b x-2 a y$ $-3 a=0$ and parallel to $x$-axis, while $(a, b \neq 10,0)$ is :
- A
Above $x$-axis and is at a distance of $\frac{3}{2}$ units
- B
Above $x$-axis and is at a distance of $\frac{2}{3}$ units
- ✓
Below $x$-axis and is at a distance of $\frac{3}{2}$ units
- D
Below $x$-axis and is at a distance of $\frac{2}{3}$ units.
AnswerCorrect option: C. Below $x$-axis and is at a distance of $\frac{3}{2}$ units
View full question & answer→