R D Sharma Solutions for Chapter: The Straight Lines, Exercise 10: EXERCISE 23.10

Author:R D Sharma

R D Sharma Mathematics Solutions for Exercise - R D Sharma Solutions for Chapter: The Straight Lines, Exercise 10: EXERCISE 23.10

Attempt the practice questions on Chapter 23: The Straight Lines, Exercise 10: EXERCISE 23.10 with hints and solutions to strengthen your understanding. MATHEMATICS for CLASS XI solutions are prepared by Experienced Embibe Experts.

Questions from R D Sharma Solutions for Chapter: The Straight Lines, Exercise 10: EXERCISE 23.10 with Hints & Solutions

EASY
11th CBSE
IMPORTANT

Find the equation of the line passing through the point of intersection of the lines 4x  7y  3 = 0 and 2x  3y + 1 = 0 that has equal intercepts on the axes.

MEDIUM
11th CBSE
IMPORTANT

Show that the area of the triangle formed by the lines y=m1x, y=m2x and y=c is equal to c24(33+11), where m1, m2 are the roots of the equation x2+(3+2)x+3-1=0.

EASY
11th CBSE
IMPORTANT

Find the orthocentre of the triangle the equations of whose sides are x+y=1, 2x+3y=6 and 4x-y+4=0.

MEDIUM
11th CBSE
IMPORTANT

Three sides AB, BC and CA of a triangle ABC are 5x-3y+2=0, x-3y-2=0 and x+y-6=0 respectively. Find the equation of the altitude through the vertex A.

MEDIUM
11th CBSE
IMPORTANT

Find the coordinates of the orthocentre of the triangle whose vertices are (-1,3), (2,-1) and (0,0).

HARD
11th CBSE
IMPORTANT

Find the coordinates of the incentre and centroid of the triangle whose sides have the equations 3x-4y=0,12y+5x=0 and y-15=0.

MEDIUM
11th CBSE
IMPORTANT

Prove that the lines 3x+y=0, 3y+x=0, 3x+y=1 and 3y+x=1 form a rhombus.

MEDIUM
11th CBSE
IMPORTANT

Find the equation of the line passing through the intersection of the lines 2x+y=5 and x+3y+8=0 and parallel to the line 3x+4y=7.