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If a and b are integers such that 
for all real numbers , then the largest possible value of 2a -6b is
for all real numbers , then the largest possible value of 2a -6b isCorrect answer is '36'. Can you explain this answer?
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If a and b are integers such thatfor all real numbers , then the large...
Let f(x) = 
. We can see that f(x) is a quadratic function.
For, f(x) > 0, Discriminant (D) < 0
Therefore, integer values that 'a' can take = {-3, -2, -1, 0, 1, 2, 3}
Let g(x) =
. We can see that g(x) is also a quadratic function.
For, g(x)≥0, Discriminant (D) ≤ 0
Therefore, integer values that 'b' can take = {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}
We have to find out the largest possible value of 2a -6b .The largest possible value will occur when 'a' is maximum and 'b' is minimum.
Therefore, the largest possible value of = 2*3 - 6*(-5) = 36.
. We can see that f(x) is a quadratic function.For, f(x) > 0, Discriminant (D) < 0
Therefore, integer values that 'a' can take = {-3, -2, -1, 0, 1, 2, 3}
Let g(x) =
. We can see that g(x) is also a quadratic function.For, g(x)≥0, Discriminant (D) ≤ 0
Therefore, integer values that 'b' can take = {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}
We have to find out the largest possible value of 2a -6b .The largest possible value will occur when 'a' is maximum and 'b' is minimum.
Therefore, the largest possible value of = 2*3 - 6*(-5) = 36.
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If a and b are integers such thatfor all real numbers , then the largest possible value of 2a -6b isCorrect answer is '36'. Can you explain this answer?
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If a and b are integers such thatfor all real numbers , then the largest possible value of 2a -6b isCorrect answer is '36'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about If a and b are integers such thatfor all real numbers , then the largest possible value of 2a -6b isCorrect answer is '36'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a and b are integers such thatfor all real numbers , then the largest possible value of 2a -6b isCorrect answer is '36'. Can you explain this answer?.
If a and b are integers such thatfor all real numbers , then the largest possible value of 2a -6b isCorrect answer is '36'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about If a and b are integers such thatfor all real numbers , then the largest possible value of 2a -6b isCorrect answer is '36'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a and b are integers such thatfor all real numbers , then the largest possible value of 2a -6b isCorrect answer is '36'. Can you explain this answer?.
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