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UNITED BOOK HOUSE-THE SCOTTISH CHURCH COLLEGIATE SCHOOL-EXERCISE
- In the expansion of (x^2+K/x)^6the co-efficient of x^3is 160.what is t...
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- If (2^(2n)-1)is division by 3,then show that [2^(2(n+1))-1]is also div...
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- Find the equation of the st.line which pass through the pt(3,1) and pe...
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- Show that the locus of the pt of intersection of the st.lines xcosthe...
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- Find the focus of the parabola y=x^2+x+1.
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- Prove that the derivative of an odd function an ever function .
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- Evaluate :lim(xrarry)(cos^2x-cos^2y)/(x^2-y^2)
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- If y = sqrt(x+sqrt(x+sqrt(x+* * * infty))) then (dy)/(dx)=
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- Prove that Axx(BcupC)=(AxxB)cup(AxxC)
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- If cos theta=(acosphi+b)/(a+bcosphi)(theta,phiacute angle)show that ta...
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- If (tan3alpha)/(tanalpha)=lambda,show that (sin3alpha)/(sinalpha)=(2la...
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- For all n ge 1 prove that (1)/(1.2)+ (1)/(2.3)+(1)/(3.4)+.....+(1)/...
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- Show that 1 is a root of a(b-c)x^2+b(c-a)x+c(a-b)=0.Hence show that if...
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- Find the sum to n terms :1/2+3/2^2+5/2^3+...+(2n-1)/2^n
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- Find the term inedpendent of X in the expansion of (1+x)^3(1-1/x)^6
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- A moving st.line always passes through a fixed pt.(alpha,beta).Prove t...
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- Find the image of the pt.(-3,-1)with respect to the st.line 2x+3y+22=0
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- Find equations of all possible circles that touch the y axis at the po...
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- Find the equation of the circles which touche the y axes id and passes...
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- Show that lim(xrarr1)(1-x)tan((pix)/2)=2/pi
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