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UNITED BOOK HOUSE-TAKI HOUSE-EXERCISE
- If alphaand beta be two roots of the equation (x-a)(x-b)=c then show t...
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- Evaluate :cos^2(pi/8)+cos^2((3pi)/8)+cos^2((5pi)/8)+cos^2((7pi)/8)
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- If cosalpha+cosbeta=2/3and sinalpha+sinbeta=2/5then find the vvalue of...
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- If cosec theta+sectheta=cosecalpha+secalpha,then show that tan ((theta...
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- x=2cost+3y=2sint+5 and t=parameter find the locus of the point (x,y)
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- Find the equations of a straight line parallel to x-axis and passes th...
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- Prove by mathematical induction ,3^(2n+1)+2^(n+2)is divisible by 7,n i...
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- Factorise:x^2+y^2+z^2-xy-yz-zx
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- Solve :2y^2+3y+8-6i=0
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- The sum of first three terms of an arithmetic progression with n terms...
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- Show that sqrt3/(sin20^@)-1/(cos20^@)=4
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- If tan(alpha+beta)=a+b and tan(alpha-beta)=a-b then show that atanalph...
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- Show that,tan7 (1^@/2)=sqrt6-sqrt3+sqrt2-2
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- Show that the area of the triangle formed by the lines y = m(1) x + c(...
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- Find the co-ordinate of the orthocentre of a triangle whose vertices a...
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- If arg ((z-1)/(z+1))=pi/4,, then show that in complex plane, the locus...
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- Find the sum of n terms of 12+105+1008+10011+….
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- Show that sin^2(x+alpha)+sin^2(x+beta)-2cos(alpha-beta).sin(x+alpha)si...
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- If cosalpha=x/(y+z),cosbeta=y/(z+x)and cosgamma=z/(x+y)then show that ...
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- A variable straight line passes through the point of intersection of t...
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