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|Exercise Exercise (Single Option Correct Type Questions)|28 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise The Straight Lines Exercise 1 : (Single Option Correct Type Questions)|1 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 5|16 Videos

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

Find the general equation of the line which is parallel to 3x-4y+5 = 0 . And such that line passes through the point (-1,2)

Find the equation of the circle, which passes through the points (2, - 3) and (3, - 2) and has its centre on the line 2x-3y = 8.

Find the equation of a curve passing through the point (–2, 3), given that the slope of the tangent to the curve at any point (x, y) is 2x/y^2

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 base of an equilateral triangle with side 2a lies along the y-axis such that the mid-point of the base is at the origin. Find vertices of the triangle.

The extremities of the base of an isosceles triangle are the points (2a, 0) and (0, a). The equation of one of the sides is x = 2a. Find the equations of the other two sides and the area of the triangle.

Find the equation of the lines passing through the point (-4,5) and the point of intersection of the lines 4x-3y+7=0 and 2x+3y+5=0.

A horizontal plane 4x-3y+7z=0 is given. Find a line of greatest slope passes through the point (2, 1, 1) in the plane 2x+y-5z=0 .

Find the equation of a line passing through the point (0,1) and parallel to : 3x-2y+5 = 0 .

Find the equation of the straight line passing through the point (2,3) and through the point of intersection of the lines 2x-3y+7=0 and 7x+4y+2=0