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Straight lines-reduction into various forms - class-XI

straight lines-reduction into various forms

20 Questions Published
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Questions

Question 1 Multiple Choice (Single Answer)
If the line $(2x+y+1)+\lambda(x-y+1)=0$ is parallel to $y-axis$ then value of $\lambda$ is ?
  1. $1$
  2. $-1$
  3. $\dfrac{1}{2}$
  4. $2$
Question 2 Multiple Choice (Single Answer)

The equation of the line passing through $(-4, 3)$, parallel to the $3x+7y+6=0$

  1. 3x+7y-9=0
  2. 3x+7y+9=0
  3. 3x+7y+3=0
  4. 3x+7y+12=0
Question 3 Multiple Choice (Single Answer)

The slope and  the y-intercept  of the given line, $y-3x -6=0$ are respectively,

  1. $3, -6$
  2. $-3, -6$
  3. $3, 6$
  4. $-3, 6$
Question 4 Multiple Choice (Single Answer)

The slope and y-intercept of the following line are respectively

$2y + 2x - 5 = 0$

  1. $ slope=m=1\quad and\quad y-intercept=c=\frac { 5 }{ 2 } . $
  2. $ slope=m=1/5\quad and\quad y-intercept=c=\frac { 2 }{ 5 } . $
  3. $ slope=m=-1\quad and\quad y-intercept=c=\frac { 5 }{ 2 } . $
  4. $ slope=m=-1/5\quad and\quad y-intercept=c=\frac { 2 }{ 5 } . $
Question 5 Multiple Choice (Single Answer)

The slope and y-intercept of the following line are respectively

$7x-y + 3 =0$

  1. $ slope=m=7/3\quad and\quad y-intercept=1.\\ $
  2. $ slope=m=-7\quad and\quad y-intercept=3.\\ $
  3. $ slope=m=-7/3\quad and\quad y-intercept=1.\\ $
  4. $ slope=m=7\quad and\quad y-intercept=3.\\ $
Question 6 Multiple Choice (Single Answer)

The slope and  the y-intercept  of the given line, $2x-3y = 7$ are respectively,

  1. $\dfrac{3}{2}, \dfrac{-3}{7}$
  2. $\dfrac{2}{3}, \dfrac{-7}{3}$
  3. $\dfrac{3}{2}, \dfrac{3}{7}$
  4. $\dfrac{2}{3}, \dfrac{7}{3}$
Question 7 Multiple Choice (Single Answer)

The slope and y-intercept of the following line are respectively

$4x-y=0$

  1. $ slope=m=4\quad and\quad y-intercept=0.\\ $
  2. $ slope=m=-4\quad and\quad y-intercept=0.\\ $
  3. $ slope=m=1/4\quad and\quad y-intercept=0.\\ $
  4. $ slope=m=0\quad and\quad y-intercept=1/4.\\ $
Question 8 Multiple Choice (Single Answer)

The slope and y-intercept of the following line are respectively

$8x-4y-1=0$

  1. $ slope=m=\frac { -1 }{ 2 } \quad and\quad y-intercept=\frac { 1 }{ 4 } . $
  2. $ slope=m=2 \quad and\quad y-intercept=-\frac { 1 }{ 4 } . $
  3. $ slope=m=-\frac { 1 }{ 2 } \quad and\quad y-intercept=-\frac { 1 }{ 4 } . $
  4. $ slope=m=\frac { 1 }{ 2 } \quad and\quad y-intercept=\frac { 1 }{ 4 } . $
Question 9 Multiple Choice (Single Answer)

The slope and y-intercept of the following line are respectively

$5x - 2y = 3$

  1. $ slope=m=-\frac { 5 }{ 2 } \quad and\quad y-intercept=-\frac { 3 }{ 2 } . $
  2. $ slope=m=\frac { 5 }{ 2 } \quad and\quad y-intercept=\frac { 3 }{ 2 } . $
  3. $ slope=m=\frac { 5 }{ 2 } \quad and\quad y-intercept=-\frac { 3 }{ 2 } . $
  4. $ slope=m=-\frac { 5 }{ 2 } \quad and\quad y-intercept=\frac { 3 }{ 2 } . $
Question 10 Multiple Choice (Single Answer)

The slope and $y$-intercept of the following line are respectively

$5x-8y =-2$

  1. slope $=m=-\dfrac { 5 }{ 8 } $ and $ y$-intercept $=\dfrac { 1 }{ 4 } $
  2. slope $=m=\dfrac { 5 }{ 8 } $ and $y$-intercept $=-\dfrac { 1 }{ 4 } $
  3. slope $=m=-\dfrac { 5 }{ 8 }$ and $ y$-intercept $=-\dfrac { 1 }{ 4 } $
  4. slope $=m=\dfrac { 5 }{ 8 } $ and $ y$-intercept $=\dfrac { 1 }{ 4 } $
Question 11 Multiple Choice (Single Answer)

For the equation given below, find the the slope and the y-intercept : $\displaystyle 3y=7$

  1. $\displaystyle 0 \ and \ \frac{7}{3}$
  2. $\displaystyle 0 \ and \ -\frac{7}{3}$
  3. $\displaystyle -\frac{7}{3} \ and \ 0$
  4. $\displaystyle \frac{7}{3} \ and \ 0$
Question 12 Multiple Choice (Single Answer)

$ax + by + c = 0$ does not represent an equation of line if ____.

  1. $a = c = 0, b \neq 0$
  2. $b = c = 0, a \neq 0$
  3. $a = b = 0$
  4. $c = 0, a \neq 0, b \neq 0 $
Question 13 Multiple Choice (Single Answer)

Find slope, x-intercept & y-intercept of the line 2x - 3y + 5 = 0

  1. $\dfrac{-5}{2},\dfrac{5}{3},\dfrac{2}{3}$
  2. $\dfrac{-5}{2},\dfrac{5}{3},\dfrac{1}{3}$
  3. $\dfrac{-3}{2},\dfrac{5}{3},\dfrac{2}{3}$
  4. $\dfrac{-5}{2},\dfrac{4}{3},\dfrac{2}{3}$
Question 14 Multiple Choice (Single Answer)

Find the slope and $y$-intercept of the line $2x + 5y = 1$

  1. slope $=$ $-\dfrac{2}{5}$, $y$-intercept $=$ $\dfrac{1}{5}$
  2. slope $=$ $-\dfrac{1}{5}$, $y$-intercept $=$ $\dfrac{1}{5}$
  3. slope $=$ $-\dfrac{2}{3}$, $y$-intercept $=$ $\dfrac{1}{5}$
  4. slope $=$ $-\dfrac{2}{5}$, $y$-intercept $= $ $\dfrac{2}{5}$
Question 15 Multiple Choice (Single Answer)

Find the slope and $y$-intercept of the line $-5x + y = 5$.

  1. slope $= 5, y$-intercept $= -5$
  2. slope $= 5, y$-intercept $= -4$
  3. slope $= 5, y$-intercept $= 5$
  4. slope $= 5, y$-intercept $= -1$
Question 16 Multiple Choice (Single Answer)

Find the slope and $y$-intercept of the line $0.2x - y = 1.2$

  1. slope $= 0.2$, $y$-intercept $= -1.2$
  2. slope $= 1.2$, $y$-intercept $= -1.2$
  3. slope $= 0.2$, $y$-intercept $= -2.2$
  4. slope $= 0.2$, $y$-intercept $= -1.3$
Question 17 Multiple Choice (Single Answer)

Find the slope and $y$-intercept of the line $2x + 2y = -2$

  1. slope = 1, y-intercept $= -3$
  2. slope = -1, y-intercept $= -1$
  3. slope = 1, y-intercept $= 3$
  4. slope = 1, y-intercept $= 1$
Question 18 Multiple Choice (Single Answer)

Find the slope and $y$-intercept of the line $x - y = 3$

  1. slope $= 2$, $y$-intercept $= -3$
  2. slope $= 0$, $y$-intercept $= -3$
  3. slope $= 1$, $y$-intercept $= -3$
  4. slope $= 1$, $y$-intercept $= 3$
Question 19 Multiple Choice (Single Answer)

A line in the $xy$-plane passes through the origin and has a slope of $\dfrac{1}{7}$. Which of the following points lies on the line?

  1. $\left(0, 7\right)$
  2. $\left(1, 7\right)$
  3. $\left(7, 7\right)$
  4. $\left(14, 2\right)$
Question 20 Multiple Choice (Single Answer)

Find an equation of the line through the points $(-3,5)$ and $(9,10)$ and write it in standard form $Ax+By=C$, with $A>0$

  1. $6x-10y=-75$
  2. $5x-12y=-75$
  3. $4x-11y=-65$
  4. $x-6y=-15$
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