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A lamp is on the top of a lamp post of h...

A lamp is on the top of a lamp post of height 2a metres situated on a straight road. A boy of height a metre walks towards the post at the speed of c metre/minute. Find the rate of decrease of the lengh of his shadow.

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A lamp is on the top of the lamp post of height 2a metres situated on a straight road. A boy of height a metre walks towards the post of the speed of c metre/minute. Find the rate of decrease of the shadow.

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To a person standing at the middle point of the horizontal straight line joining the feet of two vertical posts of the same height, the angle of elevation of the top of each post appears to be 30^@ . After walking 40metres towards one of them , the person observes that the angle of elevation of the top of the same post has changed to 60^@ . Find the distance between the two posts.

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UNITED BOOK HOUSE-QUESTION PAPER 2015-EXERCISE
  1. If A = ([1,4],[2,3]) then show that A^2-4A-5I = theta and using this f...

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  2. Solve the following equations by Cramer's method: x+y=1,y+z= 2,x+z=3.

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  3. Show that |[a+b+2c,a,b],[c,b+c+2a,b],[c,a,c+a+2b]|=2(a+b+c)^3.

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  4. Solve for x: |[x,c+x,b+x],[c+x,x,a+x],[b+x,a+x,x]|=0

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  5. Find (dy)/(dx) where x= cos^(-1)(8t^4-8t^2+1) y =sin^(-1)(3t-4t)^3...

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  6. Evaluate: int(2^xdx)/sqrt(4^x-2^(x+2)+5)

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  7. Evaluate : int (3x+5)/(x^3-x^2-x+1)dx

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  8. SolveL (1+y)^2dx=(tan^(-1)y-x)dy, given that y= 0 when x= -1.

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  9. If the rate of increase of population is 5% per year, then in how man...

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  10. Find vecc, when vecaxxvecc=vecb and veca.vecc= 3 where veca= hatr+hatj...

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  11. Find the value of lambda if three vectors veca= 2hati-hatj+hatk,vecb= ...

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  12. Evaluate (with the help of definite integral) underset(n rarr infty)...

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  13. Find the value of overset(pi/2)underset(0)int(x sinx cos x)/(a^2cos^2 ...

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  14. Sum and product of mean and standard deviation of a bionomial distribu...

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  15. The probability distribution of a random variable X is given as follo...

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  16. A lamp is on the top of a lamp post of height 2a metres situated on a ...

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  17. If the line x cos alpha+y sin alpha= p touches the curve x^my^n= a^(m+...

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  18. The total surface area of a right circular cone is given. Show that th...

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  19. Find the image of the point (1,6,3) with respect to the line x/1=(y-1...

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  20. Find the equation of a plane through the intersection of the planes ve...

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