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- If the equation 2x+3y+1=0,3x+y-2=0,a n da x+2y-b=0 are consistent, ...
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- If w is a complex cube root of unity, then value of =|a1+b1w a1w^2+b1c...
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- Let f(x)=|cos(x+x^2)sin(x+x^2)- cos(x+x^2)...
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- Which of the following has/have value equal to zero? |8 2 7 12 3 5 16 ...
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- If f(x),g(x)a n dh(x) are three polynomials of degree 2, then prove th...
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- If a ,b ,c are in G.P. with common ratio r1a n dalpha,beta,gamma are...
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- Show that: |a b-cc+b a+c b c-a a-bb+a c|=(a+b+c)(a^2+b^2+c^2)dot
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- In triangle A B C , if |1 1 1cotA/2cotB/2cotC/2tanB/2+tanC/2tanB/2+tan...
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- If a ,b ,c ,d ,e, and fare in G.P. then the value of |((a^2),(d^2),x)...
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- Prove that: |[(b+c)^2,a^2,a^2],[b^2,(c+a)^2,b^2],[c^2,c^2,(a+b)^2]|=2a...
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- " if " x(i) =a(i) b(i) C(i) i= 1,2,3 are three- digit positive integer...
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- The system of linear equations x+lambday-z=0 lambdax-y-z=0 x+y-lambd...
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- If p q r!=0 and the system of equation (p+a)x+b y+c z=0 a x+(q+b)...
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- If c<1 and the system of equations x+y-1=0,2x-y-c=0,a n db x+3b y-c=0 ...
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- Prove that |(x^2,x^2-(y-z)^2,yz),(y^2,y^2-(z-x)^2,zx),(z^2,z^2-(x-y)^2...
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- If a,b and c are real numbers, and Delta ={:[( b+c,C+a,a+b),( c+a,a...
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- If a , b , c are non-zero, then the system of equations (alpha+a)x+alp...
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- Prove that |a b+c a^2b c+a b^2c a+b c^2|=-(a+b+c)xx(a-b)(b-c)(c-a)dot
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- If a >0 and discriminant of a x^2+2b x+c is negative, then |[a,b,ax+...
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- If |(a-b-c,2a,2a),(2b,b-c-a,2b),(2c,2c,c-a-b)|=(a+b+c) xx(x + a + b...
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