The set of equations 4x−3y+z=0,7x−8y+10z=0,8x−6y+2z=0
A
Infinite solutions
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B
inconsistent
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C
has unique solution
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D
has two solutions
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Solution
The correct option is B Infinite solutions Taking determinant of co-efficient of x,y and z ∣∣
∣∣4−317−8108−62∣∣
∣∣ R3→R3/2 ∣∣
∣∣4−317−8104−31∣∣
∣∣ R1=R3 ∴ determinant is 0 ∴ equation has infinite solutions.