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Find the equations of the lines, which p...

Find the equations of the lines, which pass through the point (4, 5) and make equal angles with the lines 5x -12y + 6 = 0 and 3x = 4y + 7.

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Find the equations of the st. lines which pass through (4, 5) and make angle 45^@ with the st. line 2x + y + 1 =0.

Find the equation of the lines through the point (3,2) which make an angle of 45^@ with the line x-2y=3.

Find the equation of a straight line passing through the point (4, 5) and equally inclined to the lines 3x = 4y + 7 and 5y = 12x+6 .

Find the equation of the lines passing through the point (-4,5) and the point of intersection of the lines 4x-3y+7=0 and 2x+3y+5=0.

Find the equation of the circle passing through the points (4,1) and (6,5) and whose centre is on the line 4x + y = 16 .

Find the equations of the line passing through the point (-4,3,1) perpendicular to the plane x+2y-z=0 .

Find the equation of a line passing through the point (0,1) and parallel to : 3x-2y+5 = 0 .

Find the cartesian equation of the line which passes through the point (– 2, 4, – 5) and parallel to the line given by (x+3)/3 = (y-4)/5 = (z+8)/6

Find the vector equations of the line passing through the point (1,-1,2) and perpendicular to the plane 2x-y+3z-5=0.

Find the cartesian equation of the line, which passes through the point ( - 2, 4, - 5) and parallel to the line given by : [x+3]/3=[y-4]/5=[z+8]/6

JBD PUBLICATION-MODEL PAPER (8)-EXERICSE
  1. If sin theta= n sin(theta+2 alpha), show that : tan(theta+ alpha)=(1+n...

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  2. Prove by mathematical induction that 1+3+3^2+…………+3^(n-1)=(3^n -1)/2

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  3. Find the number of words which can be made by using all the letters of...

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  4. If C(n,10)=C(n,12), determine n and hence C(n,5).

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  5. The A.M. between two positive numbers is 34 and their G.M. is 16. find...

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  6. If (a^n+b^n)/(a^(n-1)+b^(n-1)) is the A.M. between a and b, then find ...

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  7. Find the equations of the lines, which pass through the point (4, 5) a...

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  8. Find the area of the triangle formed by the lines joining the vertex o...

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  9. Evaluate: underset(xrarr1)lim (3x^2-2x-10)/(x^2-4).

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  10. Find the derivative of (x^(n)-a^(n))/(x-a) for some constant a, x ne...

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  11. A card is drawn from a well shuffled pack of 52 cards. Find the probab...

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  12. A card is drawn from a well shuffled pack of 52 cards. Find the probab...

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  13. If z=x+iy and |(z-3)/(z+3)| = 2, show that x^2+y^2+10x+9=0.

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  14. If (1-7i)/(2i)^2= a+ib, then find the value of a and b.

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  15. Give the graphical solution of the following system of inequalities: 2...

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  16. Find all pairs of positive integers such that their sum is less than 8...

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  17. Evaluate underset(x rarr 0)lim(sin ax+bx)/(ax+sin bx)

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  18. Find the derivative secx w.r.t x

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  19. The mean and standard deviation of 20 observations are found to be 10 ...

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  20. The mean and standard deviation of 20 observations are found to be 10 ...

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