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Find the equation of the plane passing t...

Find the equation of the plane passing through the point(1,2,1) and perpendicular to the line joining the points (2,3,5) and (1,4,2).

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Find the equation of the plane passing through the point (1,2,1) and perpendicular to the line joining the points (1,4,2) and (2,3,5). Also find the coordinates of the foot of the perpendicular and the perpendicular distance of the point (4,0,3) from the above found plane.

Find the equation of the plane passing through the point A(1,2,1) and perpendicular to the line joining the points P(1,4,2) and Q (2,3,5) . Also , find the distance of this plane from the line (x+3)/(2)=(y-5)/(-1)=(z-7)/(-1) .

Find the equation of the line passing through (-3, 5) and perpendicular to the line through the points (2, 5) " and " (-3, 6) .

Find the equation of the straight line passing throught the point (3,-4) and parallel to the line joining the points (4,7) and (-5,1).

Find the equation of the line passing through the points (1,2,3)a n d(-1,0,4)dot

Find the slope of the line perpendicular to the line joining the points (2,−3) and (1,4) .

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UNITED BOOK HOUSE-MISCELLANEOUS EXERCISE-EXERCISE
  1. Solve(d^2y)/(dt^2) = tan y sec ^2 y, given dy/dt = 0 when y = 0

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  2. Prove that cos (sinx) > sin (cos x) for all x in 0 le x le pi//2

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  3. If the line ax+by+c=0 is a normal to the curve xy=1 then

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  4. Prove that all points of the curve y^2=4a[x+asinx/a] at which the lang...

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  5. Find the point on the curve 4x^2 + a2y^2 = 4a^2, 4 < a^2 < 8 that is f...

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  6. The area bounded by the parabola y = x - x^2 and the line y = mx equal...

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  7. Prove that f(x)= sin x+sqrt 3 cosx has maximum value at x=pi/6

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  8. The length of the hypotenuse of a right angled triangle is 3 ft. Find ...

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  9. The angle between the tangents to the curves y=sin x and y = cos x at ...

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  10. Show that f(x) = (x-2)e^x + x + 2 is positive for all positive values ...

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  11. Vectors vecm, vecn, vecr are such that vecm + vecn + vecr = 0, prove t...

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  12. If vecp xx vecq = vecm xx vec n and vecp xx vec m = vecq xx vecn, sho...

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  13. If veca xx vecb + vecb xx vecc + vecc xx veca = 0. Show that the vecto...

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  14. The vector vecr is collinear with vector vecn = 2hati + hatj + 3hatk ...

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  15. If veca,vecb and vecc are three mutually perpendicular vectors of equa...

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  16. Find the equation of the plane passing through the point(1,2,1) and pe...

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  17. Find the vector equation of the following plane in scalar product from...

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  18. two numbers are selected at random from 1,2,3,….., 100 and are multipl...

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  19. In a class, 5% of the boys and 10% of the girls have an IQ more than 1...

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  20. If P(A//C) geP(B//C) P(A//barC) geP(B//barC), then prove that, P(A)geP...

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