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Relationship between the TR, MR and Demand Curves

Which of the ...

Question

Which of the following is not a convex set?
(1) {(x, y) : 2x + 5y < 7}
(2) {(x, y) : x² + y² ≤ 4}
(3) {x : |x| = 5}
(4) {(x, y) : 3x² + 2y² ≤ 6}

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Solution

Hi,
Convex set involves concept of hyper plane and space that is above your grade so request you to ask grade specific question only.
Regards

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Q. Which of the following is not a convex set?
(a) {(x, y) : 2x + 5y < 7}
(b) {(x, y) : x² + y² ≤ 4}
(c) {x :|x| = 5}
(d) {(x, y) : 3x² + 2y² ≤ 6}

Q. Which of the following sets are convex?
(a) {(x, y) : x² + y²≥ 1}
(b) {(x, y) : y² ≥ x}
(c) {(x, y) : 3x² + 4y² ≥ 5}
(d) {(x, y) : y ≥ 2, y ≤ 4}

Q. Solve the following simultaneous equations graphically.
(1) x + y = 6 ; x – y = 4
(2) x + y = 5 ; x – y = 3
(3) x + y = 0 ; 2x – y = 9
(4) 3x – y = 2 ; 2x – y = 3
(5) 3x – 4y = –7 ; 5x – 2y = 0
(6) 2x – 3y = 4 ; 3y – x = 4

Q. Factorize the following polynomials.
(i) (x² – x)² – 8 (x² – x) + 12
(ii) (x – 5)² – (5x – 25) – 24
(iii) (x² – 6x)² – 8 (x² – 6x + 8) – 64
(iv) (x² – 2x + 3) (x² – 2x + 5) – 35
(v) (y + 2) (y – 3) (y + 8) (y + 3) + 56
(vi) (y² + 5y) (y² + 5y – 2) – 24
(vii) (x – 3) (x – 4)² (x – 5) – 6

Which of the following options correctly match, when subject of the formula is change to x.

$y = \frac{3 x^{2} + 4}{x^{2} - 5}$

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