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By using properties of determinants, pro...

By using properties of determinants, prove that
`|[x+4,2x,2x],[2x,x+4,2x],[2x,2x,x+4]|=(5x+4)(4-x)^2`

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A N EXCEL PUBLICATION-PROBABILITY-QUESTION BANK
  1. Consider f:RrarrR, f(x)=4x+5. Show that f is invertible.

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  2. The order of the differential equation (x/y) (d^2y)/(dx^2)+((xdy/dx-...

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  3. Solve : dy/dx=(x^2+y^2)/(2xy)

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  4. Slope of the tangent to the curve y=3x^2+2sinx at x=0 is

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  5. The volume of a cube is increasing at the rate of 5cm^3/s. How fast is...

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  6. Consider the parabolas y=x^2 and y^2=x. Draw a rough sketch and shad...

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  7. Consider the parabolas y=x^2 and y^2=x. Find the area of the region ...

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  8. A random variable X has the following probability distribution: Fi...

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  9. A random variable X has the following probability distribution: Fi...

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  10. A random variable X has the following probability distribution: Fi...

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  11. If a fair coin is tossed 10 times, Find the probability of At least 6 ...

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  12. A card from a pack of 52 cards is lost. From the remaining cards of th...

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  13. Evlauate the determinant of A = [[1,7,5],[0,3,2],[0,9,7]]

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  14. By using properties of determinants, prove that |[x+4,2x,2x],[2x,x+4,...

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  15. Solve the LPP: Maximize Z=-3x+4y Subject to x+2yle8, 3x+2yle12, ...

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  16. Consider the points A(2,3,1) and B(3,-4,5). Write the direction rati...

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  17. Consider the points A(2,3,1) and B(3,-4,5). Find the vector and Car...

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  18. Determine the direction cosines of the normal to the plane and the dis...

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  19. Find the distance of the point (2,5,-3) from the plane x+y+z=1.

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  20. Tailor Raju is available on daily wages rs 600 per day and Somu on rs...

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