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Find the equation of the line through (-...

Find the equation of the line through (-1,0,1) and perpendicular to the plane x + 2y + 1=0.

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Resolve the vector vec(b) = hat(i) + hat(j) + hat(k) into vectors para...

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  2. Find the equation of the plane passing through the line x = y = z and ...

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  3. Find the equation of the line through (-1,0,1) and perpendicular to th...

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  4. Prove by vector method that in a Delta ABC, c^(2) = a^(2) + b^(2) - 2a...

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  5. Show that |{:((b+c)^2,a^2,a^2),(b^2,(c+a)^2,b^2),(c^2,c^2,(a+b)^2):}...

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  6. Prove the following by vector method. Altitudes of a triangle are conc...

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  7. Prove that the measure of the angle between two main diagonals of a cu...

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  8. Let f : R to R be defined by f(x)=3x+5. Show that f is bijective. Find...

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  9. Prove that tan (pi/4+1/2cos^(-1)""a/b)+tan(pi/4-1/2cos^(-1)""a /b)=(2b...

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  10. Find the extreme values of the function f(x)=x^2e^(-x^2) and show that...

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  11. Find the extreme points of the following functions. Specify if the ext...

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  12. Show that f(x)=[3x+ 11] is discontinuous at x=-11/3

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  13. Find the solution of the following differential equations: (4x+6y+5)dx...

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  14. int0^pi(xdx)/(1+sinx)

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  15. Show that int0^pixInsinx=pi^2/2In1/2

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  16. If A is a 4xx5 matrix and B is a matrix such that A^(T)B and BA^(T) bo...

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  17. What is F’(x) if F(x)=int0^xe^(3t)cos4t dt ?

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  18. Find r if -501 in[r]5.

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  19. To which coordinate axis is the plane 2y – 5z=0 parallel ?

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  20. What does the solution set of the inequation 2x+ygt5 represents?

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