The area of the triangle formed by the points $A(2, 0), B(6, 0)$ and $C(4, 6)$ is:
- A$24$sq. unit
- ✓$12$sq. unit
- C$10$sq. unit
- DNone of these
Answer: B.
View full solution →Question types
Coordinate Geometry question types
117 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
117
Questions
5
Question groups
5
Question types
01
M.C.Q
69 Q→02Assertion (A) & Reason (B) MCQ
14 Q→03Fill In The Blanks[1 Marks ]
18 Q→04Case study (4 Marks)
5 Q→054 Marks Questions
11 Q→Sample Questions
Coordinate Geometry questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
A point whose abscissa is $-3$ and ordinate $2$ lies in:
- AFirst quadrant.
- ✓Second quadrant.
- CThird quadrant.
- DFourth quadrant.
Answer: B.
View full solution →A point whose abscissa and ordinate are $2$ and $-5$ respectively, lies in:
- AFirst quadrant.
- BSecond quadrant.
- CThird quadrant.
- ✓Fourth quadrant.
Answer: D.
View full solution →The ordinate of any point on $x$-axis is:
- ✓$0$
- B$1$
- C$-1$
- DAny number
Answer: A.
View full solution →The abscissa of a point is positive in the:
- AFirst and Second quadrant.
- BSecond and Third quadrant.
- CThird and Fourth quadrant.
- ✓Fourth and First quadrant.
Answer: D.
View full solution →Statement-1 $( A )$ : Points $(3,-3)$ and $(12,-4)$ lie in the same quadrant.
Statement-2 (R): Points $(-1,-1)$ and $(7,7)$ lie on the bisectors of third and first quadrant angles.
Statement-2 (R): Points $(-1,-1)$ and $(7,7)$ lie on the bisectors of third and first quadrant angles.
- AStatement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
- ✓Statement- 1 is true, Statement- 2 is true; Statement- 2 is not a correct explanation for Statement- 1.
- CStatement-1 is true, Statement-2 is false.
- DStatement- 1 is false, Statement-2 is true.
Answer: B.
View full solution →Statement-1 (A): The coordinates of a point whose ordinate is -2 and abscissa is 5 are $(-2,5)$.
Statement-2 $( R )$ : The coordinates of a point lying on positive $x$-axis at a distance of 9 units from the origin are $(9,0)$.
Statement-2 $( R )$ : The coordinates of a point lying on positive $x$-axis at a distance of 9 units from the origin are $(9,0)$.
- AStatement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
- BStatement- 1 is true, Statement- 2 is true; Statement- 2 is not a correct explanation for Statement- 1.
- CStatement-1 is true, Statement-2 is false.
- ✓Statement- 1 is false, Statement-2 is true.
Answer: D.
View full solution →Statement-1 (A): The perpendicular distance of the point $(3,-7)$ from $x$-axis is 3 .
Statement-2 (R): The perpendicular distance of the point $(x, y)$ from $x$-axis $|y|$.
Statement-2 (R): The perpendicular distance of the point $(x, y)$ from $x$-axis $|y|$.
- AStatement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
- BStatement- 1 is true, Statement- 2 is true; Statement- 2 is not a correct explanation for Statement- 1.
- CStatement-1 is true, Statement-2 is false.
- ✓Statement- 1 is false, Statement-2 is true.
Answer: D.
View full solution →Statement-1 (A): The point $P(0,12)$ lies on $y$-axis.
Statement-2 (R): The abscissa of every point on $y$-axis is zero
Statement-2 (R): The abscissa of every point on $y$-axis is zero
- ✓Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
- BStatement- 1 is true, Statement- 2 is true; Statement- 2 is not a correct explanation for Statement- 1.
- CStatement-1 is true, Statement-2 is false.
- DStatement- 1 is false, Statement-2 is true.
Answer: A.
View full solution →Statement-1 (A): The point $P(-7,0)$ lies on $x$-axis.
Statement-2 (R): The ordinate of every point on $y$-axis is positive.
Statement-2 (R): The ordinate of every point on $y$-axis is positive.
- AStatement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
- BStatement- 1 is true, Statement- 2 is true; Statement- 2 is not a correct explanation for Statement- 1.
- ✓Statement-1 is true, Statement-2 is false.
- DStatement- 1 is false, Statement-2 is true.
Answer: C.
View full solution →The points $O(0,0), A(6,0)$ and $B(0,4)$ form a _______________ triangle of area _______________ sq. units.
View full solution →The points $O(0,0), A(7,0)), B(7,4)$ and $C(0,4)$ form a _______________ .
View full solution →The points $O(0,0), A(5,0)$ and $B(0,5)$ are joined in order to form a/ an _______________ triangle.
View full solution →If $a>0$ and $b<0$, then the image of $(a, b)$ in $y$-axis lies in _______________ quadrant.
View full solution →The image of the point (-3,-2) in x-axis lies in _______________ quadrant.
For Maths integrated project, Sonia created a symmetrical design on Cartesian plain. She drew a fish in a rectangle ABCD in the 2nd quadrant as shown in figure.
Based on the above information, answer the following questions:
(i) Find the sum of abscissa of points A and B.
(ii) Find the area of rectangle ABCD.
(iii) What will be the new coordinates of A, B, C and D to draw the reflection of fish in the $3^{\text {rd }}$ quadrant across $x$-axis.
(iv) What will be the new coordinates of A, B, C and D to draw the fish by shifting each vertex of the rectangle 5 units to the right.
View full solution →Based on the above information, answer the following questions:
(i) Find the sum of abscissa of points A and B.
(ii) Find the area of rectangle ABCD.
(iii) What will be the new coordinates of A, B, C and D to draw the reflection of fish in the $3^{\text {rd }}$ quadrant across $x$-axis.
(iv) What will be the new coordinates of A, B, C and D to draw the fish by shifting each vertex of the rectangle 5 units to the right.
Four persons John, Saurabh, Salim and Ratan are sitting in a courtyard at points A, B, C and D respectively as shown in Fig. The courtyard has been divided into small squares by drawing equally spaced horizontal and vertical lines. Taking OX and OY as the coordinates axes answer the following questions:
(i) The distance between John and Salim is
(a) 6 units $\quad$(b) 4 units $\quad$(c) 5 units $\quad$(d) 7 units
(ii) The distance between John and Saurabh is
(a) 6 units $\quad$(b) $3 \sqrt{2}$ units $\quad$(c) $6 \sqrt{2}$ units $\quad$(d) $2 \sqrt{2}$ units
(iii) The distance between John and Ratan is
(a) $2 \sqrt{5}$ units $\quad$(b) $2 \sqrt{10}$ units $\quad$(c) $\sqrt{5}$ units $\quad$(d) 20 units
(i) The coordinates of point A are
(a) $(4,3)$ $\quad$(b) $(3,4)$ $\quad$(c) $(3,3)$ $\quad$(d) $(4,4)$
View full solution →(i) The distance between John and Salim is
(a) 6 units $\quad$(b) 4 units $\quad$(c) 5 units $\quad$(d) 7 units
(ii) The distance between John and Saurabh is
(a) 6 units $\quad$(b) $3 \sqrt{2}$ units $\quad$(c) $6 \sqrt{2}$ units $\quad$(d) $2 \sqrt{2}$ units
(iii) The distance between John and Ratan is
(a) $2 \sqrt{5}$ units $\quad$(b) $2 \sqrt{10}$ units $\quad$(c) $\sqrt{5}$ units $\quad$(d) 20 units
(i) The coordinates of point A are
(a) $(4,3)$ $\quad$(b) $(3,4)$ $\quad$(c) $(3,3)$ $\quad$(d) $(4,4)$
Four persons John, Saurabh, Salim and Ratan are sitting in a courtyard at points A, B, C and D respectively as shown in Fig. The courtyard has been divided into small squares by drawing equally spaced horizontal and vertical lines. Taking OX and OY as the coordinates axes answer the following questions:
(i) The coordinates of point A are
(a) $(4,3)$ $\quad$(b) $(3,4)$ $\quad$(c) $(3,3)$ $\quad$(d) $(4,4)$
(ii) The coordinates of point B are
(a) $(7,6)$ $\quad$(b) $(7,7)$ $\quad$(c) $(6,6)$ $\quad$(d) $(6,7)$
(iii) The coordinates of point C are
(a) $(9,3)$ $\quad$(b) $(9,4)$ $\quad$(c) $(4,9)$ $\quad$(d) $(10,4)$
(iv) The coordinates of point D are
(a) $(7,2)$ $\quad$(b) $(8,2)$ $\quad$(c) $(6,2)$ $\quad$(d) $(2,7)$
View full solution →(i) The coordinates of point A are
(a) $(4,3)$ $\quad$(b) $(3,4)$ $\quad$(c) $(3,3)$ $\quad$(d) $(4,4)$
(ii) The coordinates of point B are
(a) $(7,6)$ $\quad$(b) $(7,7)$ $\quad$(c) $(6,6)$ $\quad$(d) $(6,7)$
(iii) The coordinates of point C are
(a) $(9,3)$ $\quad$(b) $(9,4)$ $\quad$(c) $(4,9)$ $\quad$(d) $(10,4)$
(iv) The coordinates of point D are
(a) $(7,2)$ $\quad$(b) $(8,2)$ $\quad$(c) $(6,2)$ $\quad$(d) $(2,7)$
Class IX students of a school in Moti Nagar, Delhi have been allotted a rectangular plot of land, adjacent to their school, for gardening activity. Saplings of Gulmohar are planted on the boundary at a distance of 1 m from each other. There is a triangular grassy lawn in the plot as shown in Fig. The students are to sow seeds of flowering plants on the remaining area of the plot. Considering A as origin, AD along $x$-axis and AB along $y$-axis, answer the following questions:
(i) The coordinates of A are
(a) $(0,1)$$\quad$(b) $(1,0)$$\quad$(c) $(0,0)$$\quad$(d) $(-1,-1)$
(ii) The coordinates of P are
(a) $(4,6)$$\quad$(b) $(6,4)$$\quad$(c) $(4,5)$$\quad$(d) $(5,4)$
(iii) The coordinates of R are
(a) $(6,5)$$\quad$(b) $(5,6)$$\quad$(c) $(6,0)$$\quad$(d) $(7,4)$
(iv) The coordinates of D are
(a) $(16,0)$$\quad$(b) $(6,0)$$\quad$(c) $(0,16)$$\quad$(d) $(16,1)$
View full solution →(i) The coordinates of A are
(a) $(0,1)$$\quad$(b) $(1,0)$$\quad$(c) $(0,0)$$\quad$(d) $(-1,-1)$
(ii) The coordinates of P are
(a) $(4,6)$$\quad$(b) $(6,4)$$\quad$(c) $(4,5)$$\quad$(d) $(5,4)$
(iii) The coordinates of R are
(a) $(6,5)$$\quad$(b) $(5,6)$$\quad$(c) $(6,0)$$\quad$(d) $(7,4)$
(iv) The coordinates of D are
(a) $(16,0)$$\quad$(b) $(6,0)$$\quad$(c) $(0,16)$$\quad$(d) $(16,1)$
Plot the following points on the graph paper: $(4, -3)$
View full solution →Plot the following points on the graph paper:$(0, 7)$
View full solution →Plot the following points on the graph paper:$(7, 0)$
View full solution →Plot the following points on the graph paper:$(0, 0)$
View full solution →Plot the following points on the graph paper$:(-3, 2)$
View full solution →Generate a Coordinate Geometry paper free
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