equations of lines which passes through the point

Question

equations of lines which passes through the points of intersection of the lines 4x-3y-1=0and 2x-5y+3=0and are equally inclined to the axes are:y(+or-)x=0y-1=(+or-)1(x-1)x-1=(+or-)2(y-1)none of these

Ajay · Accepted Answer

The Point of intersection is (1, 1)The equation of line passing through this point isy-1 = m(x-1) where m is slopeor y-mx + m-1 = 0.Since line makes equal with both axes this is possible line makes 45 or 135 degree with x axis.The slopes thus can be tan45 or tan 135 or m can take values 1 or -1Putting m = 1 and -1 in equation we wll get two equations as followsy = x andy+x-2=0 as equations of lines

Analytical Geometry> equations of lines which passes through t...

equations of lines which passes through the points of intersection of the lines 4x-3y-1=0and 2x-5y+3=0and are equally inclined to the axes are:
y(+or-)x=0
y-1=(+or-)1(x-1)
x-1=(+or-)2(y-1)
none of these

nikhita , 9 Years ago

Ajay

LIVE ONLINE CLASSES

The locus of the point represented by x= t^2 +t+1 and y=t^-t+1 is

analytical geometry

show that the centroids of the triangles of which three perpendiculars lie along the lines y=m1x,y=m2x,y=m3x lie on y(3+m2m3+m3m2+m1m2)=x(m1+m2+m3+3m1m2m3)

analytical geometry

show that the equation (ab-h²)(ax²+2hxy+by²+2gx+2fy)+af²+bg²-2fgh=0 represent a pair of straight lines and that these straight lines form a rhombus with the lines ax²+2hxy+by²=0

analytical geometry

A circle has its center on straight line 5x-2y+1=0 and cuts the x axis at two points whose absciasse are -5,3 find equation of the circle and it's radius.

analytical geometry

Prove that ax^2+by^2+cz^2 +2ux+2vy+2wz+d=0 represent a cone if u^2/a+v^/b+w^2/c=d

analytical geometry

Analytical Geometry> equations of lines which passes through t...

equations of lines which passes through the points of intersection of the lines 4x-3y-1=0and 2x-5y+3=0and are equally inclined to the axes are:y(+or-)x=0y-1=(+or-)1(x-1)x-1=(+or-)2(y-1)none of these

nikhita , 9 Years ago

Ajay

LIVE ONLINE CLASSES

Other Related Questions on analytical geometry

The locus of the point represented by x= t^2 +t+1 and y=t^-t+1 is

analytical geometry

show that the centroids of the triangles of which three perpendiculars lie along the lines y=m1x,y=m2x,y=m3x lie on y(3+m2m3+m3m2+m1m2)=x(m1+m2+m3+3m1m2m3)

analytical geometry

show that the equation (ab-h²)(ax²+2hxy+by²+2gx+2fy)+af²+bg²-2fgh=0 represent a pair of straight lines and that these straight lines form a rhombus with the lines ax²+2hxy+by²=0

analytical geometry

A circle has its center on straight line 5x-2y+1=0 and cuts the x axis at two points whose absciasse are -5,3 find equation of the circle and it's radius.

analytical geometry

Prove that ax^2+by^2+cz^2 +2ux+2vy+2wz+d=0 represent a cone if u^2/a+v^/b+w^2/c=d

analytical geometry

equations of lines which passes through the points of intersection of the lines 4x-3y-1=0and 2x-5y+3=0and are equally inclined to the axes are:
y(+or-)x=0
y-1=(+or-)1(x-1)
x-1=(+or-)2(y-1)
none of these