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Write the equation of the straight line through the point `(alpha,beta,gamma)` and parallel to z-axis.

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To find the equation of the straight line that passes through the point \((\alpha, \beta, \gamma)\) and is parallel to the z-axis, we can follow these steps: ### Step 1: Identify the Point and Direction Ratios We know that the line passes through the point \((\alpha, \beta, \gamma)\). The direction ratios for a line that is parallel to the z-axis are given as \(0, 0, 1\). ### Step 2: Use the General Equation of a Straight Line The general equation of a straight line in three-dimensional space is given by: \[ ...
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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
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  2. Let f,g: R-R be two functions defined as f(x)=|x|+x and g(x)=|x|-x , f...

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  3. Write the equation of the straight line through the point (alpha,beta,...

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  4. If y=tan^(-1)(a/x)+logsqrt((x-a)/(x+a)) , Prove that (dy)/(dx)=(2a^3)/...

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  5. Find the value of the constant k so that the function f , defined belo...

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  7. Find intervals in which the function given by f(x)=3/(10)x^4-4/5x^3-3x...

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  8. Find the particular solution of the differential equation x(dy)/(dx)=y...

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  9. Differentiate tan^(-1)((sqrt(1-x^2))/x) with respect to cos^(-1)(2xsqr...

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  10. Using properties of determinants, prove that |[2y,y-z-x,2y],[2z,2z, ...

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  11. Write the vector equation of the plane, passing through the point (...

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  12. Let A={1,2,3,...,9} and R be the relation in A xx A defined by (a , b)...

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  13. Evaluate : int(x-3)sqrt(x^2+3x-18)dx

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  14. Evaluate : int(sin^6x+cos^6x)/(sin^2xdotcos^2x)dx

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  15. Find the particular solution of the differential equation e^xsqrt(1-y^...

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  16. A dealer in rural area wishes to purchase a number of sewing machin...

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  17. From a lot of 15 bulbs which include 5 defectives, a sample of 4 bu...

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  18. A card from a pack of 52 playing cards is lost. From the remaining ...

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  19. Find the distance between the point (7,2,4) and the plane determined b...

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  20. Find the distance of the point (-1,-5,-10) from the point of inters...

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