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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 7-EXERCISE
- If f(x)=cos(logx),show that f(x)f(y)-1/2[f(x/y)+f(xy)]=0
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- Prove that cosalpha/(sin3alpha)+(cos3alpha)/(sin9alpha)+(cos9alpha)/(s...
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- Solve : sectheta-1=(sqrt2-1)tantheta
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- By mathematical induction show that 3^n>n^3when nge4. N is an integer.
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- Find the co-efficient of 1/xof the expansion of (1+x)^n(1+1/x)^nwhere ...
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- Find the sum up to n terms :n.1+(n-1).2+(n-2)3+(n-3).4+....
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- If n(p(r-1))/a=n(pr)/b=n(p(r+1))/c,then show that b^2=a(b+c)
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- Show that the four lines 2x+y+1=0,2x+y+7=0,x+2y-1=0 and x+2y+5=0 form ...
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- Find the equation-of the bisector of the obtused angle between the st...
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- The co-ordinate of centre and the diameter of a circle are (3, 7) and ...
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- Find the ratio in which the YZ. plane divides the line segment joining...
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- Evaluate :lim(xrarr0)(sqrtcosx-root(3)(cosx))/(sin^2x)
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- Find, form 1st principles, the derivatives of tansqrtxwith respect to ...
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- Using contrapositive method show that the following statement is true....
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- Find the validity of the following biconditional Statement. A triangle...
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- For any three events A. B.' C show thatP(AcupBcupC)=P(A)+P(B)+P(C)-P(A...
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- The mean and SD of the scoreing marks of 100 students are 40 and 5.1 r...
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- if tan (beta/2)=4 tan (alpha/2),show that tan( (beta-alpha)/2)=(3sinal...
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- If xcos(theta+120^@)=y cos (theta+240^@),show that x-y=-(x+y)sqrt3tant...
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- If one root is the square of another of an equationax^2+2ibx+ic=0,then...
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