MATHEMATICS for CLASS XI>Chapter 23 - The Straight Lines>EXERCISE 23.5>Q 7

MEDIUM

11th CBSE

IMPORTANT

Earn 100

By using the concept of equation of a line, prove that the three points $(- 2, - 2), (8, 2)$ and $(3, 0)$ are collinear.

Important Questions on The Straight Lines

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 23 - The Straight Lines>EXERCISE 23.5>Q 8

Prove that the line

y - x + 2 = 0

divides the join of points

(3, - 1)

and

(8, 9)

in the ratio

2 : 3

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 23 - The Straight Lines>EXERCISE 23.5>Q 9

Find the equation to the straight line which bisects the distance between the points

(a, b), (a^{'}, b^{'})

and also bisects the distance between the points

(- a, b)

and

(a^{'}, - b^{'})

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 23 - The Straight Lines>EXERCISE 23.5>Q 10

In what ratio is the line joining the points $(2, 3)$ and $(4, - 5)$ divided by the line passing through the points $(6, 8)$ and $(- 3, - 2)$ .

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 23 - The Straight Lines>EXERCISE 23.5>Q 11

The vertices of a quadrilateral are

A (- 2, 6), B (1, 2), C (10, 4)

and

D (7, 8)

. Find the equations of its diagonals.

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 23 - The Straight Lines>EXERCISE 23.5>Q 12

The length

L

(in centimetres) of a copper rod is a linear function of its Celsius temperature

C

. In an experiment, if

L = 124.942

when

C = 20

and

L = 125.134

when

C = 110

, express

L

in terms of

C

.

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 23 - The Straight Lines>EXERCISE 23.5>Q 13

The owner of a milk store finds that, he can sell

980

litres of milk each week at

₹ 14 /

litre and

1220

litres of milk each week at

₹ 16

litre. Assuming a linear relationship between selling price and demand, if

k

litres could he sell weekly at

₹ 17 /

litre then find the value of

k

.

HARD

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 23 - The Straight Lines>EXERCISE 23.5>Q 14

Find the equation of the bisector of angle

A

of the triangle whose vertices are

A (4, 3)

B (0, 0)

and

C (2, 3)

.

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 23 - The Straight Lines>EXERCISE 23.5>Q 15

Find the equations to the straight lines which go through the origin and trisect the portion of the straight line

3 x + y = 12

which is intercepted between the axes of coordinates.