Sample QuestionsCoordinate Geometry questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Find the slope of the line whose inclination is given as $60^\circ $
View full solution →Find the slope of the line whose inclination is given as $ 45^\circ $
View full solution →Find the slope of the line whose inclination is given as $30^\circ $
View full solution →Find the slope of the line whose inclination is given as $0^\circ $
View full solution →Find the co$-$ordinates of points whose $:$ Abscissa is$ -7$ and ordinate is $4$
View full solution →Draw a graph of each of the following equations$: y = 3$
View full solution →Draw a graph of each of the following equations$: x = 0$
View full solution →Draw a graph of each of the following equations$: 2y - 5 = 0$
View full solution →Draw a graph of each of the following equations$: 2x = 7$
View full solution →Draw a graph of each of the following equations$: y - 4 = 0$
View full solution →Draw a graph of each of the following equations: $y=\frac{3}{5}, x-1$
View full solution →Find the inclination and slope of a line which is equidistant from the $x-$axis.
View full solution →Plot the points $A (3, 4)$ and $C (-3, -2)$ on a graph. Find the coordinates of the point $B$ and $D$ such $\text{ABCD}$ is a square. Also find the area of the square.
View full solution →A rectangle $\text{PQRS}$ is drawn on the coordinate axes such that $P$ is the origin, $PQ = 6$ units and $PS = 5$ units. Find the coordinates of the vertices $P, Q R$ and $S.$ Also, find the area of the rectangle.
View full solution →In each of the following, find the coordinates of the point whose abscissa is the solution of the first equation and ordinate is the solution of the second equation.$(7-x)+7 x =(x+5) ; \frac{2+3 y}{2}=2 y -6$
View full solution →Draw a graph for each of the following equations and find the coordinates of the points where the line drawn meets the $x-$axis and $y-$axis: $2x + 3y = 12$
View full solution →Draw a graph of each of the following equations: $2(x-5)=\frac{3}{4}(y-1)$
View full solution →Draw a graph of each of the following equations:$=\frac{5}{2} \times+\frac{2}{5}$
View full solution →Draw a graph of each of the following equations: $x = -3y$
View full solution →Draw a graph of each of the following equations: $x + y - 3 = 0$
View full solution →Draw the graph of the lines $y = x + 2, y = 2x - 1$ and $y = 2$ from $x = -3$ to $4$, on the same graph paper. Check whether the lines drawn are parallel to each other.
View full solution →Draw a graph of the equation $5x - 3y = 1$. From the graph find the value of:$(i) x$, when $y = 8;(ii) y$, when $x = 2$
View full solution →Draw a graph of the equation $2x + 3y + 5 = 0$, from the graph find the value of$:\ (i) x$, when $y = -3;(ii) y,$ when $x = 8$
View full solution →Draw a graph for each of the following equations and find the coordinates of the points where the line drawn meets the $x-$axis and $y-$axis$: \frac{2 x}{5}+\frac{y}{2}=1$
View full solution →Draw a graph of the equation $2x - 3y = 15$. From the graph find the value of:$(i) x$, when $y = 3;(ii) y$, when $x = 0$
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