Grade 12Analytical Geometry

the st line makes equal angle to three mutually perpendicular st lines whose dcs are given how can i find its direction cosines

aarshabh

9 Years agoGrade 12

1 Answer

Nishant Vora

9 Years ago

LEt us take our coordinate system in such a way that coordinate axes lie on thosethree mutually perpendicular st lines, Then Dc of req line will be $(1/\sqrt{3},1/\sqrt{3},1/\sqrt{3})$

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

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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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the st line makes equal angle to three mutually perpendicular st lines whose dcs are given how can i find its direction cosines

aarshabh

1 Answer

Nishant Vora

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)

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