Analytical Geometry> find eqn. of a line passing through inter...

find eqn. of a line passing through intersectin of lines x+y+1=0 and 2x-3y-1=0 and passing through (1,1) whose slope is 2 units

piyush srivastava , 11 Years ago

Grade

1 Answers

vineet chatterjee

this question is to be done by done by the method of family of lines.

so,by this method-(x+y+1)+lambda(2x-3y-1)=0

now x=--2/5 and y=--3/5 are the solutions of the equation x+y+1 =0 and 2x-3y=1.

so,put the values of x and y in the above equation which i have written in the form of lambda.

thus,you will get the value of lambda and so you can get a general equation which passes through the given two lines.

Last Activity: 11 Years ago

LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

Full Live Access

Study Material

Live Doubts Solving

Daily Class Assignments

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

analytical geometry

1 Answer Available

Last Activity: 3 Years ago

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

1 Answer Available

Last Activity: 4 Years ago

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

1 Answer Available

Last Activity: 4 Years ago

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

1 Answer Available

Last Activity: 4 Years ago

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

1 Answer Available

Last Activity: 4 Years ago

View all Questions

Analytical Geometry> find eqn. of a line passing through inter...

find eqn. of a line passing through intersectin of lines x+y+1=0 and 2x-3y-1=0 and passing through (1,1) whose slope is 2 units

piyush srivastava , 11 Years ago

vineet chatterjee

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