S L Loney Solutions for Chapter: Coordinates, Lengths of Straight Lines and Areas of Triangles, Exercise 2: EXAMPLES II

Author:S L Loney

S L Loney Mathematics Solutions for Exercise - S L Loney Solutions for Chapter: Coordinates, Lengths of Straight Lines and Areas of Triangles, Exercise 2: EXAMPLES II

Attempt the practice questions on Chapter 1: Coordinates, Lengths of Straight Lines and Areas of Triangles, Exercise 2: EXAMPLES II with hints and solutions to strengthen your understanding. The Elements of COORDINATE GEOMETRY Part 1 Cartesian Coordinates solutions are prepared by Experienced Embibe Experts.

Questions from S L Loney Solutions for Chapter: Coordinates, Lengths of Straight Lines and Areas of Triangles, Exercise 2: EXAMPLES II with Hints & Solutions

EASY
JEE Advanced
IMPORTANT

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

Find the area of the triangle the co-ordinates of whose angular points are am1, am1, am2,am2 and am3,am3.

EASY
JEE Advanced
IMPORTANT

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

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: -12, 3, -5, 6 and -8, 8.

HARD
JEE Advanced
IMPORTANT

By showing that the area of the triangle formed by them is zero, prove that the following points are in a straight line: a, b+c, b, c+a and c, a+b.

EASY
JEE Advanced
IMPORTANT

Find the area of the quadrilateral the co-ordinates of whose angular points, taken in order, are 1, 1, 3, 4, 5, -2 and 4, -7.

EASY
JEE Advanced
IMPORTANT

Find the area of the quadrilateral the co-ordinates of whose angular points, taken in order, are -1, 6, -3, -9, 5, -8 and 3, 9.

EASY
JEE Advanced
IMPORTANT

If O is the origin, and if the co-ordinates of any two points P1 and P2 are respectively x1, y1 and x2, y2, prove that
OP1·OP2·cosP1OP2=x1x2+y1y2.