Self Studies

Coordinate Geom...

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  • Question 1
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    The points (4, 4), (3, 5) and (-1, -1) form the vertices of a/an

  • Question 2
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    Three vertices of a parallelogram are (1, 3), (2, 0) and (5, 1). Its fourth vertex is

  • Question 3
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    The points A(- 4, - 1), B(- 2, - 4), C(4, 0) and D(2, 3) are the vertices of a

  • Question 4
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    What is the area of the triangle formed by the points A (1, 2), B (-2, 3) and C (-3, -4)?

  • Question 5
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    If the points (-6, -5), (0, b) and (2, ) are collinear, what is the value of b?

  • Question 6
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    If the point A (a, b) divides the line segment joining the points (2, 3) and (2, 7) internally in the ratio 1 : 3, what are the coordinates of this point?

  • Question 7
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    If (2, 3), (3, a) and (b, – 2) are the vertices of a triangle whose centroid is (0, 0), then find the respective values of a and b.

  • Question 8
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    In the rectangular coordinate system given above, the area of triangle RST is

  • Question 9
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    What is the ratio in which P (4, 6) divides the line joining A (-2, 3) and B (6, 7)?

  • Question 10
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    Find the radius of a circle whose diameter has endpoints (-3, -2) and (7, 8).

  • Question 11
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    Point P(x, y) is equidistant from the points (1, 3) and (2, –1). Which of the following equations holds true?

  • Question 12
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    Point (0, y) is equidistant from the points (7, 6) and (-3, 4). What is the value of y?

  • Question 13
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    The centre of a circle passing through the points (7, -5), (3, -7) and (3, 3) is

  • Question 14
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    If the points (2a, a), (a, 2a) and (a, a) enclose a triangle of area 2 sq. units, then the value of a is

  • Question 15
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    In the figure given above, what is the area of the quadrilateral OACB?

  • Question 16
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    Ajay and Vijay are two local drivers who drive through different routes. Ajay drives within the city. He starts from point A(2, 2) and then moves to point B(6, 4), then to point C(10, 12), then to point D(14, 18) and then reaches his final destination at E(18, 22), where the coordinates are in km. Vijay's route is outside the city from point A to point E. What is the difference between the distances covered by them, in metres? (Consider the value of each up to two decimal places)

  • Question 17
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    Directions For Questions

    Directions: Study the following information and answer the question that follows.

    Different flowers are planted in the rows and column in a field yard for a flower show. Out of them, A, B, C and D are four flowers which are shown in the figure. All the coordinates are in metres. (Consider the value of each up to two decimal places.)

    ...view full instructions

    What is the difference of distance between AC and AB?

  • Question 18
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    Directions For Questions

    Directions: Study the following information and answer the question that follows.

    Different flowers are planted in the rows and column in a field yard for a flower show. Out of them, A, B, C and D are four flowers which are shown in the figure. All the coordinates are in metres. (Consider the value of each up to two decimal places.)

    ...view full instructions

    If there is a new flower blooming at 12 units along X axis and 8 units along Y axis with respect to point A in the same field yard, then what will be the difference between the ordinates of point D and the new point formed?

  • Question 19
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    A street starts from house A at point (5, 22) and ends at house B at point (-3, 8). Another street which is perpendicular to the given street joins another house C to midpoint of the street joining houses A and B. Which of the following could be the coordinates of house C?

  • Question 20
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    A triangular platform is made for a flag post whose vertices are at coordinates (7, 39), (15, 9) and (4, 5). The pole is placed where the centroid of the triangle exists.

    (i) Find the area of the triangular platform in sq. units.
    (ii) Find the coordinates of the point where the pole is placed.

  • Question 21
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    A triangle has 12 units base on the line 3x + 7y = 12. If the third vertex is at point (3, - 5), find the area of the triangle.

  • Question 22
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    The four vertices of a rectangle ABCD are A(6, 16), B(16, 33), C(29, 26) and D(x, y).

    i. Find the area of the rectangle in square units.
    ii. Find the point where diagonals of the rectangle intersect.

  • Question 23
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    The ratio of areas of triangles ABC and DEF is 1 : 3, respectively. Find the value of y.

  • Question 24
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    The area of a rectangle ABCD is 60 square units. The coordinates of point A are (3, 4). If the perimeter of the rectangle is 34 square units, find the answers to the questions given below:



    (A) Coordinates of B
    (B) Coordinates of C
    (C) Ratio of AB to BC

  • Question 25
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    In the given figure, the area of triangle ABC is 48 square units. The coordinates of point A are (1, 2) and those of point B are (5, -4). If D is the midpoint of CB, find the coordinates of point D.

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