EASY

JEE Advanced

IMPORTANT

Earn 100

Find the area of the triangle the co-ordinates of whose angular points are $(5, 2), (- 9, - 3)$ and $(- 3, - 5) .$

Important Questions on Coordinates, Lengths of Straight Lines and Areas of Triangles

EASY

JEE Advanced

IMPORTANT

The Elements of COORDINATE GEOMETRY Part 1 Cartesian Coordinates>Chapter 1 - Coordinates, Lengths of Straight Lines and Areas of Triangles>EXAMPLES II>Q 4

Find the area of the triangle the co-ordinates of whose angular points are

(a, b + c)

(a, b - c)

and

(- a, c)

EASY

JEE Advanced

IMPORTANT

The Elements of COORDINATE GEOMETRY Part 1 Cartesian Coordinates>Chapter 1 - Coordinates, Lengths of Straight Lines and Areas of Triangles>EXAMPLES II>Q 5

Find the area of the triangle the co-ordinates of whose angular points are

$(a, c + a), (a, c) and (- a, c - a)$ .

MEDIUM

JEE Advanced

IMPORTANT

The Elements of COORDINATE GEOMETRY Part 1 Cartesian Coordinates>Chapter 1 - Coordinates, Lengths of Straight Lines and Areas of Triangles>EXAMPLES II>Q 6

Find the area of the triangle the coordinates of whose angular points are respectively

(a \cos ϕ_{1}, b \sin ϕ_{1})

(a \cos ϕ_{2}, b \sin ϕ_{2})

and

(a \cos ϕ_{3}, b \sin ϕ_{3})

MEDIUM

JEE Advanced

IMPORTANT

The Elements of COORDINATE GEOMETRY Part 1 Cartesian Coordinates>Chapter 1 - Coordinates, Lengths of Straight Lines and Areas of Triangles>EXAMPLES II>Q 7

Find the area of the triangle the co-ordinates of whose angular points are

(a m_{1}^{2}, 2 a m_{1}),

(a m_{2}^{2}, 2 a m_{2})

and

(a m_{3}^{2}, 2 a m_{3})

MEDIUM

JEE Advanced

IMPORTANT

The Elements of COORDINATE GEOMETRY Part 1 Cartesian Coordinates>Chapter 1 - Coordinates, Lengths of Straight Lines and Areas of Triangles>EXAMPLES II>Q 8

Find the area of the triangle the co-ordinates of whose angular points are

{a m_{1} m_{2}, a (m_{1} + m_{2})}

\{a m_{2} m_{3}, a (m_{2} + m_{3})\}

and

\{a m_{3} m_{1}, a (m_{3} + m_{1})\} .

MEDIUM

JEE Advanced

IMPORTANT

The Elements of COORDINATE GEOMETRY Part 1 Cartesian Coordinates>Chapter 1 - Coordinates, Lengths of Straight Lines and Areas of Triangles>EXAMPLES II>Q 9

Find the area of the triangle the co-ordinates of whose angular points are

(a m_{1}, \frac{a}{m_{1}}), (a m_{2}, \frac{a}{m_{2}})

and

(a m_{3}, \frac{a}{m_{3}})

EASY

JEE Advanced

IMPORTANT

The Elements of COORDINATE GEOMETRY Part 1 Cartesian Coordinates>Chapter 1 - Coordinates, Lengths of Straight Lines and Areas of Triangles>EXAMPLES II>Q 10

By showing that the area of the triangle formed by them is zero, prove that the following sets of three points are in a straight line:

(1, 4), (3, - 2)

and

(- 3, 16)

EASY

JEE Advanced

IMPORTANT

The Elements of COORDINATE GEOMETRY Part 1 Cartesian Coordinates>Chapter 1 - Coordinates, Lengths of Straight Lines and Areas of Triangles>EXAMPLES II>Q 11

By showing that the area of the triangle formed by them is zero, prove that the following sets of three points are in a straight line:

(- \frac{1}{2}, 3), (- 5, 6)

and

(- 8, 8)

Find the area of the triangle the co-ordinates of whose angular points are (5, 2), (-9, -3) and (-3, -5).

Important Questions on Coordinates, Lengths of Straight Lines and Areas of Triangles

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Find the area of the triangle the co-ordinates of whose angular points are $(5, 2), (- 9, - 3)$ and $(- 3, - 5) .$