Andhra Pradesh Board Solutions for Chapter: The Straight Line, Exercise 5: Exercise 3(e)

Author:Andhra Pradesh Board

Andhra Pradesh Board Mathematics Solutions for Exercise - Andhra Pradesh Board Solutions for Chapter: The Straight Line, Exercise 5: Exercise 3(e)

Attempt the practice questions on Chapter 3: The Straight Line, Exercise 5: Exercise 3(e) with hints and solutions to strengthen your understanding. Intermediate First Year Mathematics Paper 1B solutions are prepared by Experienced Embibe Experts.

Questions from Andhra Pradesh Board Solutions for Chapter: The Straight Line, Exercise 5: Exercise 3(e) with Hints & Solutions

HARD
11th Andhra Pradesh Board
IMPORTANT

Find the circumcenter of the triangle whose sides are given by x+y+2=0, 5x-y-2=0 and x-2y+5=0.

MEDIUM
11th Andhra Pradesh Board
IMPORTANT

Find the equations of the straight lines passing through (1,1) and which are at a distance of 3 units from (-2,3).

HARD
11th Andhra Pradesh Board
IMPORTANT

If p and q are the lengths of the perpendiculars from the origin to the straight lines xsecα+ycosecα=a and xcosα-ysinα=acos2α, prove that 4p2+q2=a2.

MEDIUM
11th Andhra Pradesh Board
IMPORTANT

Two adjacent sides of a parallelogram are given by 4x+5y=0 and 7x+2y=0 and one diagonal is 11x+7y=9. Find the equations of the remaining sides and the other diagonal.

HARD
11th Andhra Pradesh Board
IMPORTANT

Find the incentre of the triangle formed by the straight lines x+1=0, 3x-4y=5 and 5x+12y=27.

HARD
11th Andhra Pradesh Board
IMPORTANT

Find the incentre of the triangle formed by the straight lines x+y-7=0, x-y+1=0 and x-3y+5=0.

HARD
11th Andhra Pradesh Board
IMPORTANT

A triangle is formed by the lines ax+by+c=0, lx+my+n=0 and px+qy+r=0. Given that the triangle is not right-angled, show that the straight line ax+by+cap+bq=lx+my+nlp+mq passes through the orthocenter of the triangle.

HARD
11th Andhra Pradesh Board
IMPORTANT

The Cartesian equations of the sides BC, CA and AB of a triangle are respectively urarx+bry+cr=0, r=1, 2, 3. Show that the equation of the straight line passing through A and bisecting the side BC is u3a3b1-a1b3=u2a1b2-a2b1.