Sample QuestionsCo-ordinate Geometry questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Write the slope of the line which is $:$ Perpendicular to the $y-$axis.
View full solution →Write the slope of the line which is: Parallel to the $ y-$axis.
View full solution →Write the slope of the line which is$: $Perpendicular to the $x-$axis.
View full solution →Write the slope of the line which is: Parallel to the $x-$axis.
View full solution →Write the inclination of a line which is: Perpendicular to the $ y-$axis.
View full solution →Find the equation of the line whose $:$ slope $= 0 $ and $y-$intercept $= 0$
View full solution →Find the equation of the line whose$:$ slope $= 0$ and $y-$ intercept $= - 5$
View full solution →Find the equation of the line whose$:$slope$ = - 3 $ and $y-$intercept $= - 1$
View full solution →Find the equation of the line whose$:$slope $= - 4$ and $y-$intercept $= 2$
View full solution →Find the equation of the line whose$:$Slope $= 5$ and $y-$intercept $= - 8$
View full solution →Draw the line $2x - 3y - 18 = 0$ on a graph paper. From the graph paper, read the $y-$intercept of the line.
View full solution →Draw the line $3x + 4y = 12$ on a graph paper. From the graph paper, read the $y-$intercept of the line.
View full solution →For the equation given below, find the slope and the $y-i$ntercept$:4y + 9 = 0$
View full solution →For the equation given below, find the slope and the $y-$intercept$:3y = 7$
View full solution →For the equation given below, find the slope and the $y-$intercept:$x= 5y - 4$
View full solution →The graph of $3x + 2y = 6$ meets the $x-$axis at point $P$ and the $y-$axis at point $Q.$ Use the graphical method to find the co$-$ordinates of points $P$ and $Q$.
View full solution →On the same graph paper, plot the graphs of $y = 2x - 1, y = 2x$ and $y = 2x + 1$ from $x = - 2$ to $x = 4$. Are the graphs $($lines$)$ drawn parallel to each other?
View full solution →On the same graph paper, plot the graph of $y = x - 2, y = 2x + 1$ and $y = 4$ from $x= - 4$ to $3.$
View full solution →For the pair of linear equations given below, draw graphs and then state, whether the lines drawn are parallel or perpendicular to each other.$3x + 4y = 24,\frac{x}{4}+\frac{y}{3}=1$
View full solution →For the pair of linear equations given below, draw graphs and then state, whether the lines drawn are parallel or perpendicular to each other$.y = x - 3,y = - x + 5$
View full solution →Draw the graph of the line $x + y = 5$. Use the graph paper drawn to find the inclination and the $y-$intercept of the line.
View full solution →For the pair of linear equations given below, draw graphs and then state, whether the lines drawn are parallel or perpendicular to each other.$2x - 3y = 6;\frac{x}{2}+\frac{y}{3}=1$
View full solution →Use the graphical method to show that the straight lines given by the equations $x + y = 2, x - 2y = 5$ and $\frac{x}{3}+y=0$ pass through the same point.
View full solution →$A (-2, 4),C(4, 10)$ and $D(-2, 10)$ are the vertices of a square $\text{ABCD}$. Use the graphical method to find the co$-$ordinates of the fourth vertex $B$. Also, find:$(i)$ The co$-$ordinates of the mid$-$point of $BC;(ii)$ The co$-$ordinates of the mid$-$point of $CD$ and $(iii)$ The co$-$ordinates of the point of intersection of the diagonals of the square $\text{ABCD}.$
View full solution →$A (- 2, 2), B(8, 2)$ and $C(4, - 4)$ are the vertices of a parallelogram $\text{ABCD}$.
By plotting the given points on a graph paper; find the co$-$ordinates of the fourth vertex $D$.
Also, form the samegraph,state the co$-$ordinates of the mid$-$points of the sides $AB$ and $CD$.
View full solution →State, true or false$:\ $The point $(a, b)$ lies on the $y-$axis if $b = 0.$
View full solution →State, true or false$:\ $The origin $(0, 0)$ lies on the $x-$axis.
View full solution →State, true or false$:\ $If the ordinate of a point is equal to its abscissa; the point lies either in the first quadrant or in the second quadrant.
View full solution →State, true or false$:\ $Every point is located in one of the four quadrants.
View full solution →State, true or false$:\ $The $y-$axis is the vertical number line.
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