ExamBro
ExamBro
TS EAMCET · Maths · Determinants

If the system of equations 2x+9y+5z=8, 2x+3y-z=-4, x-2z=-5 have an infinite number of solutions x=-5+at, y=2+bt, z=ct, tR then a, b, c respectively are

  1. A 1, 1, 1
  2. B 2, 1, 1
  3. C -2, -1, 1
  4. D 2, -1, 1
Verified Solution

Answer & Solution

Correct Answer

(D) 2, -1, 1

Step-by-step Solution

Detailed explanation

Given the system of equations 2x+9y+5z=8, 2x+3y-z=-4 and x-2z=-5 have an infinite number of solutions given byx=-5+at, y=2+bt, z=ct, t∈R then x, y, z will satisfy the given equations. Thus, we have 2-5+at+92+bt+5ct=8, 2-5+at+32+bt-ct=-4…