## Question

### Solution

Correct option is

(–1, 0)

We have,  Let x – y + c1 = 0 and 2x + y + c2 = 0 be the lines represented by the equation (i). Then,  Thus, the lines are x – y + 1 = 0 and 2x + y – 1 = 0

The sides of the triangles are : Clearly, they from a right angled triangle. So, the coordinates of the orthocenter are the coordinates of the vertex forming the right angle i.e. the point of intersection of the lines #### SIMILAR QUESTIONS

Q1

If the equation represents two parallel straight lines, then

Q2

The gradient of one of the lines given by is twice that of the other, then

Q3

The equation x3 + y3 = 0 represents

Q4

One bisector of the angle between the lines given by . The equation of the other bisector is

Q5

The equation represents two mutually perpendicular lines if

Q6

The product of the perpendiculars drawn from the point (1, 2) to be the pair of lines x2 + 4xy + y2 = 0 is

Q7

The three lines whose combined equation is y3 – 4x2y = 0 form a triangle which is

Q8

The angle between the pair of lines whose equation is Q9

If two of the straight lines represented by are at right angles, then,

Q10

If the distance of a point (x1y1) from each of the two straight lines, which pass through the origin of coordinates, is δ, then the two lines are given by