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ARIHANT MATHS-DETERMINANTS -Exercise (Questions Asked In Previous 13 Years Exam)
- If a^2+b^2+c^2=-2, and f(x)= |{:(1+a^2x,(1+b^2)x,(1+c^2)x),((1+a^2)x,...
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- The value of |alpha| for which the system of equation alphax+y+z=alpha...
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- if a(1),a(2),…….a(n),……. form a G.P. and a(1) gt 0 , for all I ge 1 ...
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- If D =|{:(1,1,1),(1,1+x,1),(1,1,1+y):}|"for" " "xne0,yne0 then D is
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- Consider the system of equations x-2y+3z=-1 -x+y-2z=k x-3y+4z=1 ...
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- Let a,b,c, be any real number. Suppose that there are real numbers x,y...
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- Prove that |{:(1+a,1,1),(1,1+b,1),(1,1,1+c):}| =abc (1+(1)/(a)+(1)/(...
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- If f(theta)=|{:(1,tantheta,1),(-tantheta,1,tantheta),(-1,-tantheta,1):...
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- The number of values of k for which the linear equations 4x+ky+2...
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- If the trivial solution is the only solution of the system of equation...
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- The number of values of k, for which the system of equations (k""+""...
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- If f(n)=alpha^(n)+beta^(n) and |{:(3,1+f(1),1+f(2)),(1+f(1),1+f(2),1+f...
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- The set of all values of lambda for which the system of linear equ...
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- Which of the following values of alpha satisfying the equation |{:((1+...
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- The system of linear equations x+y+z=2,2x+y-z=3, 3x+2y+kz=4 has a uniq...
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- The total number of distinct x in R for which |{:(x,,x^(2),,...
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- Let a, lambda , mu in R.Consider the system of linear equations ax...
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- If S is the set of distinct values of 'b' for which the following ...
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