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of the equation 3x + 4y = -6 with the Y-axis?, QUESTION SET-1: LINEAR EQUATIONS IN TWO VARIABLES, What is the value of K, for which the graphical representation of, the simultaneous equations 5x-3y =1 and 2x-ky=-4 are, 2., - 0) (V), Ans. (C), parallel lines?, 9, 5., (q), 5 3, ()), 5. What is the value of the determinant, -3-5, (A) 30 (B) - 30 (C) 16 (D) – 16, Ans. (B), For parallel lines,, 15 x (- 5) – 3 x(-3) = - 25 +9-1, Ans. (D), Assignment, Q. Choose the correct alternative :, equations 4x + 3y = 19 and 4x - 3y = – 11?, (A) 4 (B) 3 (C) 2 (D) -3, 2. For drawing the graph of 2x + 5y = 16, if y =2, what is the value of x?, (B) 1 (C) 4 (D) 5, (V), Ans. (B), (Substitute k for x and 5 for y, (A) 3 (B) - 3 (C) 13 (D) - 13, 3. What is the value of D, for solving the simultaneous equations, 7. For drawing the graph of 5x + 2y = 16, if x=2, what is the value, 3x + 2y = 11 and 7x - 4y =9 by Cramer's rule?, of y?, (A) 26 (B) - 26, 4. What is the value of D,, for solving the simultaneous equations, 3x + y = 1 and 2x- 11y = 3 by Cramer's rule?, 14, II, (B) 8 (C) 3 (D), 2, Ans. (C), [Substitute x=2 in the given equation.], (A) 14 (B) - 14 (C) 7 (D) -7, 8. What is the value of D, for solving simultaneous equations 5. For drawing the graph of 3x - 2y = - 1, if y = 2, what is the value, 3x+2y -11 and 7x- 4y =9 by Cramer's rule?, of x?, (A)-1, (B) 1 (C) 0 (D) -2, (A) 26 (B) -26, (C) 62 (D) -62, 211 6. What are the coordinates of the point of intersection of the lines, x + 3y = 7 and 2x +y= -1?, -11, Ans. (A), (A) (2, - 3) (B) (- 2, 3) (C) (2, 3) (D) (-2, - 3), 9. What is the value of k. for which the simultaneous equat. What is the value of k, for which the graphical representation of, the simultaneous equations 14x + 10y = 33 and kx + 5y = 1l are, parallel lines?, 2x + 3y 8 and 6x-ky-24 have infinitely many solution, (A) 9 (B) -6 (C) 6 (D) -9, (A) 7 (B) 10 (C) 11 (D) -7, Ip, ATO, Ans. (D), For infinitely many solutions: