Home
Class 12
MATHS
The sides of a triangle have the combine...

The sides of a triangle have the combined equation `x^2-3y^2-2x y+8y-4=0` . The third side, which is variable, always passes through the point `(-5,-1)` . Find the range of values of the slope of the third line such that the origin is an interior point of the triangle.

Text Solution

Verified by Experts

The correct Answer is:
`m in(-1,1/5)`
Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|27 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|12 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 5|15 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

The equations of two sides of a triangle are 3y-x-2=0a n dy+x-2=0. The third side, which is variable, always passes through the point (5,-1) . Find the range of the values of the slope of the third side, so that the origin is an interior point of the triangle.

Two sides of an isosceles triangle are given by the equations 7x-y+3=0 and x+y-3=0 and its third side passes through the point (1,-10)dot Determine the equation of the third side.

The line, represented by the equation 3x - 8y = 2 , passes through the point (k, 2). Find the value of k.

Find the equation of the line which is parallel to 3x-2y+5=0 and passes through the point (5,-6) .

Find the equation of the line which is parallel to 3x-2y+5=0 and passes through the point (5,-6)

The three lines whose combined equation is y^(3)-4x^(2)y=0 form a triangle which is

Two equal sides of an isosceles triangle are given by 7x-y+3=0 and x+y=3 , and its third side passes through the point (1,-10) . Find the equation of the third side.

Two equal sides of an isosceles triangle are given by 7x-y+3=0 and x+y=3 , and its third side passes through the point (1,-10) . Find the equation of the third side.

Two equal sides of an isosceles triangle are given by 7x-y+3=0 and x+y=3 , and its third side passes through the point (1,-10) . Find the equation of the third side.

The sides of a triangle are given by the equation y-2=0,y+1=3(x-2) and x+2y=0 Find, graphically: The area of a triangle