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If the plane ax + by = 0 is rotated abou...

If the plane ax + by = 0 is rotated about its line of intersection with the plane z = 0 through an angle α, then prove that the equation of the plane in its new position is
`ax+by pm (sqrt(a^2+b^2)tan alpha)z=0`

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The correct Answer is:
`therefore ax+by pm z tan alpha.sqrt(a^2+b^2)=0`
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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-SOLUTION OF NCERT EXAMPLAR PROBLEMS (Short Answer Type Question)
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  5. Show that the points bari-barj+3bark and 3(bari +barj+bark) are equidi...

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  6. vec(AB)=3bari-barj+bark and vec(CD)= -3bari+2barj+4bark are two vector...

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  7. Show that the straight lines whose direction cosines are given by 2l +...

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  8. If (l1, m1, n1), (l2, m2, n2)" and "(l3, m3, n3) are the direction cos...

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  9. Distance of the point (alpha,beta,gamma) from Y- axis is …........

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  10. If the directions cosines of a line are k, k and k then ..........

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  11. The distance of the plane barr.(2/7i+3/7j-6/7k)=1 from the origin is …...

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  12. The sine of the angle between the straight line (x-2)/(3)=(y-3)/(4)=(z...

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  13. The reflection of the point (alpha,beta,gamma) in the xy - plane is .....

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  14. The area of the quadrilateral ABCD, where A(0, 4, 1), B(2, 3, -1), C(4...

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  15. The locus represented by xy + yz = 0 is .........

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  17. A plane passes through the points (2, 0, 0) (0,3,0) and (0, 0, 4). The...

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  18. The direction cosines of the vector 2bari + 2barj - bark are ............

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  19. The cartesian equation of a line is (x-5)/(3)=(y+4)/(7)=(z-6)/(2).Writ...

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