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- If 2a+b+3c=1a n da >0,b >0,c >0, then the greatest value of a^4b^2c^2 ...
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- If the function f(x)=-4e^((1-x)/2)+1+x+(x^2)/2+(x^3)/3a n dg(x)=f^(-1)...
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- Solve |(x^2-5x+4)/(x^2-4)|<=1
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- A square matrix B is said to be an orthogonal matrix of order n if BB^...
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- If the cubic polynomials x^3+a x^2+11 x+6a n dx^3+b x^2+14 x+8 may hav...
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- If log((sqrt5-1)/4)(3x-4x^3)< 1; and 0 < x < 1 then x contains the int...
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- The number of integral values of 'm' less than 50, so that the roots o...
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- If the system of equations x+y+z=2 2x+4y-z=6 3x+2y+lambdaz=mu ...
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- Find the set of values of 'a', for which the expression y=(ax^2+6x-8...
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- Consider a square matrix A or order 2 which has its elements as 0, 1, ...
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- If P=(sin 300^0dottan 330^0dotsec 420^0)/(tan135^0dots in 210^0dots ...
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- Prove that: sin(pi/14)sin((3pi)/14)sin((5pi)/14)sin((7pi)/14)sin((9pi...
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- If p,q are the roots of the quadratic equation x^2 + 2bx + c = 0, pro...
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- (sin theta)/(cos3theta)+(sin3theta)/(cos9theta)+(sin9theta)/(cos27thet...
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- If the equation (x/(1+x^2))^2+a(x/(1+x^2))+3=0 has exactly two real ro...
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- If f(x)=|(cos(x+alpha),cos(x+beta),cos(x+gamma)),(sin(x+alpha),sin(x+b...
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- Number of solutions of the simultaneous equations |x| + |y|=3 and sin ...
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- A solution of the system of equations x-y=1/3 and cos^2pix-sin^2πy=1/2...
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- Number of roots of equation 3^(|x|)-|2-|x||=1 is a. 0 b. 2 c. 4 d. 7
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- If lines x=y=za n dx=y/2=z/3 and third line passing through (1,1,1) fo...
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