KVPY SX SB Exam 05-Nov-2017 Question Paper

Question : 11 of 120

Marks: +1, -0

For how many different values of a does the following system have at least two distinct solutions ?
ax + y = 0
x + (a + 10) y = 0

Solution:

a/1=1/(a+10)

a^2 + 10a -1 = 0

two value of a

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