NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 7 - Coordinate Geometry>Exercise>Q 6

MEDIUM

10th CBSE

IMPORTANT

Earn 100

Find the coordinates of the point Q on the X-axis which lies on the perpendicular bisector of the line segment joining the points $A (- 5, - 2)$ and $B (4, - 2)$ . Name the type of triangle formed by the point Q, A and B.

Important Questions on Coordinate Geometry

MEDIUM

10th CBSE

IMPORTANT

NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 7 - Coordinate Geometry>Exercise>Q 7

Find the value of

m

, if the points

(5, 1), (- 2, - 3)

and

(8, 2 m)

are collinear .

MEDIUM

10th CBSE

IMPORTANT

NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 7 - Coordinate Geometry>Exercise>Q 8

If the point

A (2, - 4)

is equidistant from

P (3, 8)

and

Q (- 10, y)

, then find the value of `y`. Also, find distance `PQ`.

MEDIUM

10th CBSE

IMPORTANT

NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 7 - Coordinate Geometry>Exercise>Q 9

Find the area of the triangle whose vertices are

(- 8, 4), (- 6, 6)

and

(- 3, 9)

.

MEDIUM

10th CBSE

IMPORTANT

NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 7 - Coordinate Geometry>Exercise>Q 10

In what ratio does the X-axis divide the line segment joining the points

(- 4, - 6)

and

(- 1, 7)

? Find the coordinates of the points of division.

MEDIUM

10th CBSE

IMPORTANT

NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 7 - Coordinate Geometry>Exercise>Q 11

Find the ratio in which the point

P (\frac{3}{4}, \frac{5}{12})

divides the line segment joining the points

A (\frac{1}{2}, \frac{3}{2})

and

B (2, - 5)

.

MEDIUM

10th CBSE

IMPORTANT

NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 7 - Coordinate Geometry>Exercise>Q 12

If

P (9 a - 2, - b)

divides line segment joining

A (3 a + 1, - 3)

and

B (8 a, 5)

in the ratio

3 : 1

, then find the values of

a

and

b

.

MEDIUM

10th CBSE

IMPORTANT

NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 7 - Coordinate Geometry>Exercise>Q 13

If

(a, b)

is the mid-point of the line segment joining the points

A (10, - 6), B (k, 4)

and

a - 2 b = 18,

then find the value of

k

and the distance

A B .

MEDIUM

10th CBSE

IMPORTANT

NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 7 - Coordinate Geometry>Exercise>Q 14

If the centre of a circle is

(2 a, a - 7)

, then find the value of

a

, if the circle passes through the point

(11, - 9)

and has diameter

10 \sqrt{2}

units.