If the equations of three sides of a tri...

If the equations of three sides of a triangle are `x+y=1, 3x + 5y = 2 and x - y = 0` then the orthocentre of the triangle lies on the line/lines

`5x-3y=1`

`5y-3x=1`

`2x-3y=1`

`5x-3y=2`

Text Solution

Verified by Experts

The correct Answer is:

A, B

Topper's Solved these Questions

THE STRAIGHT LINES
ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|15 Videos
THE STRAIGHT LINES
ARIHANT MATHS ENGLISH|Exercise Exercise For Session 5|15 Videos
THE STRAIGHT LINES
ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|16 Videos
SETS, RELATIONS AND FUNCTIONS
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
THEORY OF EQUATIONS
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

Let ABC be a triangle with equations of the sides AB, BC and CA respectively x - 2 = 0,y- 5 = 0 and 5x + 2y - 10 = 0. Then the orthocentre of the triangle lies on the line

The equations of the sides of a triangle are x+y-5=0, x-y+1=0, and y-1=0. Then the coordinates of the circumcenter are

Statement 1 : The equation of the sides of a triangle are x - 3y = 0, 4x + 3y = 5 and 3x + y = 0. The line 3x-3y = 0 passes through the orthocentre of triangle. Statement 2 : If two lines of slope m_1 and m_2 are perpendicular, then m_1 m_2 = -1

The sides of a triangle are given by x-2y+9=0, 3x+y-22=0 and x+5y+2=0 . Find the vertices of the triangle.

The equation of the sides of a triangle are x+2y+1=0, 2x+y+2=0 and px+qy+1=0 and area of triangle is Delta .

The equations of two sides of a triangle are 3x-2y+6=0\ a n d\ 4x+5y-20\ a n d\ the orthocentre is (1,1). Find the equation of the third side.

The sides of a triangle are 3x + 4y, 4x + 3y and 5x+5y units, where x gt 0, y gt 0 . The triangle is

The equation of the medians of a triangle formed by the lines x+y-6=0, x-3y-2=0 and 5x-3y+2=0 is

The equations of the sides of a triangle are x-3y=0,4x+3y=5,3x+y=0. The line 3x-4y=0 passes through (A) Incentre (B) Centroid (C) Orthocentre (D) Circumcentre

Statement -1 : The circumcentre of the triangle formed by the lines x + y = 0 , x - y = 0 and x + 5 = 0 ( - 5 , 0) . Statement-2 : Cicumcentre of a triangle lies inside the triangle

ARIHANT MATHS ENGLISH-THE STRAIGHT LINES-Exercise For Session 3

Locus of the point of intersection of lines x cosalpha + y sin alpha =...
Text Solution
|
If a ,\ b , c are in A.P., then the line a x+b y+c=0 passes through a ...
Text Solution
|
If the lines a x+12 y+1=0,\ b x+13 y+1=0 and c x+14 y+1=0 are concurre...
Text Solution
|
The lines ax + by + c = 0, where 3a + 2b + 4c= 0, are concurrent at th...
Text Solution
|
If the lines ax+y+1=0, x+by+1=0 and x+y+c=0 (a,b and c being distinct ...
Text Solution
|
If u=a1x+b1y+c1=0,v=a2x+b2y+c2=0, and (a1)/(a2)=(b1)/(b2)=(c1)/(c2), t...
Text Solution
|
The straight lines x+2y-9=0,3x+5y-5=0 , and a x+b y-1=0 are concurrent...
Text Solution
|
If the straight lines x+y-2=0,2x-y+1=0 and a x+b y-c=0 are concurrent,...
Text Solution
|
If the equations of three sides of a triangle are x+y=1, 3x + 5y = 2 a...
Text Solution
|
Find the equations of the line through the intersection of 2x - 3y + 4...
Text Solution
|
The locus of point of intersection of the lines x/a-y/b=m and x/a+y/b...
Text Solution
|
The condition on aa n db , such that the portion of the line a x+b y-1...
Text Solution
|
If the lines (a-b-c) x + 2ay + 2a = 0 , 2bx + ( b- c - a) y + 2b = 0 a...
Text Solution
|
Prove that the lines ax+by + c = 0, bx+ cy + a = 0 and cx+ay+b=0 are ...
Text Solution
|
Find the equation of the straight line which passes through the inte...
Text Solution
|
Let a ,\ b ,\ c be parameters. Then the equation a x+b y+c=0 will repr...
Text Solution
|
Prove that the family of lines represented by x(1+lambda)+y(2-lambda)+...
Text Solution
|
Prove that (-a,-a/2) is the orthocentre of the triangle formed by the ...
Text Solution
|