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Find the point on the straight line 3x-4...

Find the point on the straight line 3x-4y=25,nearest to the origin .

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Find he point on the straight line y=2x+11 which is nearest to the circle 16(x^(2)+y^(2))+32x-8y-50=0 .

Find line coordinates of that point on the line 3x-4y=25 which is nearest to the origin.

Find the point on the curve 3x^2-4y^2=72 which is nearest to the line 3x+2y+1=0.

Which one of the following points is the nearest poit on the line 3x-4y =25 from the origin ?

Find the equation of the straight line which passes through the origin and makes angle 60^0 with the line x+sqrt(3)y+sqrt(3)=0 .

Find the equation of the straight line passing through the point of intersection of the straight lines x+2y+3=0 and 3x+4y+7=0 and parallel to the straight line y=-(5)/(8)x .

Find the equation of the straight line equidistant from the point (2,-2) and the line 3x-4y+1=0.

Find the equation of the straight line which passes through the point of intercestion of the straight lines 3x-4y+1=0 and 5x+y=0 and makes equal intercepts upon the coordinate axes .

Find the equations of the two straight line parallel to the line 3x+4y=15 and at a distance of 7.5 unit from the point (1,-2).

Find the equations of the two straight line parallel to the line 3x+4y=15and at a distance of 7.5 unit from the point (1,-2).

UNITED BOOK HOUSE-TANTIA HIGH SCHOOL-EXERCISE
  1. If ^9P5 + 5. ^9P4 = ^I0Pr, find r.

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  2. If alphaand beta be two roots of the equation (x-a)(x-b)=c then show t...

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  3. Find the point on the straight line 3x-4y=25,nearest to the origin .

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  4. Find the centre and the radius of the circle.2x^2+2y^2-4x+8y-4=0

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  5. If theta be a variable parameter find the curve whose parametric equat...

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  6. Find the area of greatest square that can be inscribed given straight ...

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  7. Evaluate :lim(xrarr1)(x+x^2+x^3+...+x^n-n)/(x-1)

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  8. If y=(1-x)(2-x)(3-x)…(n-x),find dy/dx

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  9. show that lim(nrarr0)(root(3)(n+1)-1)/n=1/3

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  10. For any two sets A,B ,prove that (AcapB)'=A'cupB'

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  11. If (cot(alpha-beta))/cotalpha+(cos^2gamma)/(cos^2alpha)=1show that tan...

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  12. If sinx-siny=a and cosx+cosy=b,prove that tan((x+y)/2)=+-sqrt((4-a^2-b...

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  13. Prove that sintheta/(cos3theta)+(sin3theta)/(cos9theta)+(sin9theta)/(c...

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  14. If tan (theta/2)=tan^3 (phi/2)and tanphi=2tanalpha,then prove that the...

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  15. If a,b are real and a^2+b^2=1,then prove that the equation.(1-ix)/(1+i...

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  16. If the roots of the equation x^2+2px+q=0and x^2+2qx+p=0where p!=q.Diff...

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  17. Prove that the product of any r consecutive natural number is always d...

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  18. Find the rank of the word LAKE,when the letters are arranged as in a d...

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  19. The sum of three numbers in G.P is 70.If the two extremes be mulitipli...

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  20. A ray of light comming from (1, 2) to the x axis at A and reflecting w...

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