Grade 11Analytical Geometry

if one vertex of an equilateral triangle of side a lies at origin and other lies on the line x=(square root of 3)*y the third vertex is..

anshika

8 Years agoGrade 11

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Utkarsh

8 Years ago

Angle between the line and x axis is $tan\Theta =\sqrt{3}$ , there fore using parametric equation we obtain othe coordinated as $(a/2,\sqrt{3}a/2)$ .and third vertex will be on (a,0).

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

analytical geometry

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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

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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

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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

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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

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Last Activity: 4 Years ago

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if one vertex of an equilateral triangle of side a lies at origin and other lies on the line x=(square root of 3)*y the third vertex is..

anshika

1 Answer

Utkarsh

Other Related Questions on analytical geometry

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

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)

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

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.

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