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Matrices and Determinants

Section: Mathematics

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Question : 12

Total: 56

Let p,q,r be nonzero real numbers that are, respectively, the 10th,100‌th ‌ and 1000‌th ‌ terms of a harmonic progression. Consider the system of linear equations
cx+y+z=1
10x+100y+1000z=0
‌ qr ‌x+‌ pr ‌y+pqz=0.

=10 , then the system of linear equations has

≠100 , then the system of linear equations has

,z=0 as a solution

≠10 , then the system of linear equations has

infinitely many solutions

=10 , then the system of linear equations has

at least one solution

[JEE Adv 2022 P1]

(I)→(T);(II)→(R);(III)→(S);(IV)→(T)
(I)→(Q);(II)→(S);(III)→(S);(IV)→(R)
(I)→(Q);(II)→(R);(III)→(P);(IV)→(R)
(I)→(T);(II)→(S);(III)→(P);(IV)→(T)

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