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Find the locus of the mid-point of the portion of the line `x cosalpha+ysinalpha=4`intercepted between the axes of coordinates.

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Find the locus of the mid - point of the portion of the line x cos alpha + y sin alpha = 4 intercepted between the axes of coordinates .

Find the locus of the middle point of the portion of the line xcosalpha+ysinalpha=p which is intercepted between the axes, given that p remains constant.

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A moving straight line always passes through the point (h,k) . Prove that the locus of the middle point of the portion of the straight line intercepted between the axes of coordinates is , (h)/(x)+(k)/(y)=2 .

The variable straight line (x)/(a)+(y)/(b)=1 is such that , a+b=10. Find the locus of the middle point of that part of the line , which is intercepted between the axes .

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The sum of the intercepts cut off from the axes of coordinates by a variable straight line is 10 units . Find the locus of the point which divides internally the part of the straight line intercepted between the axes of coordinates in the ratio 2:3 .

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Find the coordinates of the middle point of the portion of the straight line 2x+y=4 intercepted between the x and the y - axes.

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UNITED BOOK HOUSE-ANNUAL EXAMINATION QUESTION PAPERS 2016-EXERCISE
  1. Prove that by using the principle of mathematical induction for all n...

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  2. Let the sum of n, 2n, 3n terms of an A.P. be S1, S2 and S3 , respectiv...

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  3. Find the locus of the mid-point of the portion of the line x cosalpha+...

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  4. If the coordinates of a point lies on the ellipse 9x^2+16y^2=144 be (2...

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  5. If y=e^x/(1+x^2),determin dy/dx.

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  6. Evaluate :lim(xrarrpi/4)(1-tanx)/(x-pi/4)

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  7. can 7/2be the probability of an event? Explain.

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  8. Two variables x and y are related by y=10-3x.If the standard deviation...

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  9. For any three sets A,B and C prove that Acup(BcapC)=(AcupB)cap(AcupC)

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  10. Find the value of 16cos(pi/15).cos((2pi)/15).cos((4pi)/15).cos((8pi)/1...

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  11. Show that sin^3alpha+sin^3(120^@+alpha)+sin^3(240^@+alpha)=-3/4sin3alp...

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  12. Prove that by using the principle of mathematical induction for all n...

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  13. If the P^(th)and q^(th)terms of an A.Pare a and b respectively,then sh...

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  14. Find the probability of drawing 4 cards from a pack of 52 cards such t...

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  15. Find the sum of n-terms of the following series:(x+1/x)^2+(x^2+1/x^2)^...

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  16. The equations of two sides of a square are 5x+12y-10=0 and 5x+12y+29=0...

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  17. Find the equation of the circle passes through the points (4,3) and (-...

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  18. Show that the area of the triangle formed by the lines y = m(1) x + c(...

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  19. Find the value of cos B for the triangle formed by joining the points ...

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  20. Evlauate lim(xrarr0)(cot2x-cosec2x)/x

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