MEDIUM
11th Andhra Pradesh Board
IMPORTANT
Earn 100

A(-1,1), B(5,3) are opposite vertices of a square in the XY-plane. Find the equation of the other diagonal (not passing through A, B) of the square.

Important Questions on The Straight Line

EASY
11th Andhra Pradesh Board
IMPORTANT
Intermediate First Year Mathematics Paper 1B>Chapter 3 - The Straight Line>Exercise 3(d)>Q II
Find the foot of the perpendicular drawn from (4,1) upon the straight line 3x-4y+12=0.
MEDIUM
11th Andhra Pradesh Board
IMPORTANT
Intermediate First Year Mathematics Paper 1B>Chapter 3 - The Straight Line>Exercise 3(d)>Q II
Find the foot of the perpendicular drawn from (3,0) upon the straight line 5x+12y-41=0.
MEDIUM
11th Andhra Pradesh Board
IMPORTANT
Intermediate First Year Mathematics Paper 1B>Chapter 3 - The Straight Line>Exercise 3(d)>Q II
x-3y-5=0 is the perpendicular bisector of the line segment joining the points A, B. If A=(-1,-3), find the coordinates of B.
MEDIUM
11th Andhra Pradesh Board
IMPORTANT
Intermediate First Year Mathematics Paper 1B>Chapter 3 - The Straight Line>Exercise 3(d)>Q II
Find the image of the point (1,2) in the straight line 3x+4y-1=0.
MEDIUM
11th Andhra Pradesh Board
IMPORTANT
Intermediate First Year Mathematics Paper 1B>Chapter 3 - The Straight Line>Exercise 3(d)>Q II
Show that the distance of the point (6,-2) from the line 4x+3y=12 is half the distance of the point (3,4) from the line 4x-3y=12.
MEDIUM
11th Andhra Pradesh Board
IMPORTANT
Intermediate First Year Mathematics Paper 1B>Chapter 3 - The Straight Line>Exercise 3(d)>Q II
Find the locus of the foot of the perpendicular from the origin to a variable straight line which always passes through a fixed point (a,b).
HARD
11th Andhra Pradesh Board
IMPORTANT
Intermediate First Year Mathematics Paper 1B>Chapter 3 - The Straight Line>Exercise 3(d)>Q III
Show that the lines x-7y-22=0, 3x+4y+9=0 and 7x+y-54=0 form a right angled isosceles triangle.
HARD
11th Andhra Pradesh Board
IMPORTANT
Intermediate First Year Mathematics Paper 1B>Chapter 3 - The Straight Line>Exercise 3(d)>Q III
Find the equations of the straight lines passing through the point (-3,2) and making an angle of 45° with the straight line 3x-y+4=0.