Mathematics

Linear inequations

Chapter: Algebra

Question 1 of 5 NDA MCQ
Consider the inequations 5x - 4y + 12 < 0, x + y < 2, x < 0 and y > 0. Which one of the following points lies in the common region?
Detailed Explanation

Explanation:

Since x < 0 and y > 0

(a) ∴ (0, 0) not lies in the common region

(b) −2 + 4 = 2, So, (−2, 4) not lies in the common region

(c) −1 + 4 > 2, So, (−1, 4) not lies in the common region

(d) −1 + 2 < 2, and 5(−1) − 4(2) = −13 < 0

So, (−1, 2) lies in the common region

Question 2 of 5 NDA MCQ

Let AX = B be a system of 3 linear equations with 3 unknowns. Let X₁ and X₂ be its two distinct solutions. If the combination aX₁ + bX₂ is a solution of AX = B, where a and b are real numbers, then which of the following is correct?

Detailed Explanation

Question 3 of 5 NDA MCQ

The central angles p, q, r and s (in degrees) offour sectors in a Pie Chart satisfy the relation9p = 3q = 2r = 6s. What is the value of 4p – q ?

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Question 4 of 5 NDA MCQ

A natural number n is chosen from the first 50 natural numbers. What is the probability that 

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Question 5 of 5 NDA MCQ

If k < ( 2+√1)3< 2+k, where k is a natural number, then what is the value of k?

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