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Write the direction-cosines of the li...

Write the direction-cosines of the line joining the points (1, 0, 0) and (0, 1, 1).

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STATEMENT-1 : The direction ratios of a line joining the points (0, 0, 0) and (x, y, z) must be x, y, z. and STATEMENT-2 : If P(x, y, z) is a point is space and OP=r then direction cosines of OP are x/r, y/r, z/r ,.

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Find the direction cosines of the line joining the following points : (i) A(2,-1,3), B(3,1.1) ( ii) A(2,-1,2), B(-4,2,0) (iii) A(4,3,-5), B(-2,1,-8)

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Using properties of determinants, prove the following: |[1,x,x^2],[...

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  2. Write the projection of the vector hat i- hat j on the vector ha...

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  3. Write the direction-cosines of the line joining the points (1, 0, 0...

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  4. Differentiate the following function with respect to x : (log\ x)^...

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  5. If y=log[x+sqrt(x^2+a^2)\ ] , show that (x^2+a^2)(d^2\ y)/(dx^2)+x(dy)...

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  6. Evaluate: int1^3(x^2+x)dx

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  7. Show that of all the rectangles inscribed in a given fixed circle, ...

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  8. Using integration find the area of the triangular region whose side...

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  9. Find the equation of the plane which contains the line of intersecti...

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  10. Find a unit vector perpendicular to each of the vector vec a+ vec ...

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  11. Find the angle between the following pair of lines: (-x+2)/(-2)=(y-...

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  12. Probabilities of solving a specific problem independently by A and ...

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  13. If x=a^(sin^-1 t) ,\ y=a^(cos^-1t) ,\ show that (dy)/(dx)=-y/x

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  14. Find the point on the curve y=x^2 where the slope of the tangent is eq...

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  15. Find the intervals in which the function f given by f(x)=sinx+cosx ,\...

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  16. A factory makes tennis rackets and cricket bats. A tennis racket ta...

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  17. Suppose 5% of men and 0.25% of women have grey hair. A grey haired ...

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  18. 2 tan^(-1) (cos x) = tan^(-1) (2 cosec x)

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  19. Prove that: cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-...

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  20. Write the value of the following determinant: |[102, 18, 36],[ 1, 3,...

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