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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 3-EXERCISE
- Show that sectheta+tantheta=tan(pi/4+theta/2)
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- In /\ABC, if a = 3. b = 5 and c =7, show that the triangle is obtused.
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- If | z + 2 | + | z - 2 | le 6, find the maximum value of I z I.
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- If m=^nC2show that ^mC2=3^(n+1)C4
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- If a+b=3,then show that the minimum value of |a+ib|=is 3/sqrt2
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- Find the sum of the following infinite G.P series 0.9+0.81+0.792+….
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- Show that the distance between (1,-1) and ((2m^2)/(1+m^2),(1-m)^2/(1+m...
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- Find the radius of sphere passing through (2,0,1) and having centre(0,...
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- Prove that lim(xrarroo)(1+1/x)^x=e
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- For all real values of x and y, if f(x+y)=f(x)f(y), f(5)=4, f'(0)=2, f...
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- IfP(A)=1/2,P(B)=1/3)and P(A capB)=1/4find (A 'capB')
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- In.an examination. 50%of the condidates have passed in mathematics 50%...
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- If A,B,(A - B)are positive acute angles, then prove that geometrically...
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- Show thatcos((2pi)/7)+cos((4pi)/7)+cos((6pi)/7)=-1/2
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- Show that a^6+a^4+a^2+1=0,when a=1/sqrt2(1+i)
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- Prove by mathematical induction:(3^(4n+1)+2^(2n+2))is divisible by 7.
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- Show that the co-efficient of the middle term of the expansion of(1+x)...
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- If (y/z)^a.(z/x)^b.(x/y)^c=1and a,b,c are in A.P ,show that x,y,z are ...
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- In /\XYZthe equation of the perpendicularbisector of XY and XZ arc x-y...
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- Find the distance of the point (3. 5) from the line 2x + 3y = 14measur...
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