question_answer1) Which of the following is a linear equation?
A) \[x-2y=7\]
B) \[{{x}^{3}}-1=0\]
C) \[x+\frac{6}{x}=12\]
D) \[\frac{x}{2}+\frac{3}{x}=14\]
View Answer play_arrowquestion_answer2) Which of the following is a solution of\[\text{2p}+\text{3q}=\text{5}\]?
A) \[\text{p}=-\text{1},\text{q}=\text{1}\]
B) \[\text{p }=\text{ 1},\text{ q }=\text{ }-\text{1}\]
C) \[\text{p}=\text{1},\text{q}=\text{1}\]
D) \[~\text{p}=-\text{1},\text{q}=-\text{1}\]
View Answer play_arrowA) Consistent equations
B) Simultaneous equations
C) Inconsistent equations
D) Dependent equations
View Answer play_arrowA) \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{b}_{1}}}{{{b}_{2}}}\]
B) \[\frac{{{a}_{1}}}{{{a}_{2}}}\ne \frac{{{b}_{1}}}{{{b}_{2}}}\]
C) \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{c}_{1}}}{{{c}_{2}}}\]
D) \[\frac{{{b}_{1}}}{{{b}_{2}}}=\frac{{{c}_{1}}}{{{c}_{2}}}\]
View Answer play_arrowA) One
B) Two
C) Three
D) Infinitely many
View Answer play_arrowquestion_answer6) What is a system of simultaneous equations called if it has no solution?
A) Consistent system
B) independent system
C) Inconsistent system
D) Dependent system
View Answer play_arrowA) 0
B) 1
C) 2
D) 3
View Answer play_arrowA) Inconsistent system
B) Consistent system
C) Dependent system
D) Independent system
View Answer play_arrowquestion_answer9) HI What is the nature of the graphs of a dependent system?
A) Parallel lines
B) Perpendicular lines
C) Intersecting lines
D) Coincident lines
View Answer play_arrowA) Parallel lines
B) Perpendicular lines
C) Coincident lines
D) Intersecting lines
View Answer play_arrowA) 0
B) 1
C) 2
D) Infinitely many
View Answer play_arrowquestion_answer12) Which of the following is a consistent system of simultaneous equations?
A) \[\text{m}+\text{3n}=\text{6}\] \[\text{2m}+\text{6n}=\text{12}\]
B) \[\text{a }+\text{ 3b }=\text{ 6}\]\[\text{2a}-\text{3b}=\text{12}\]
C) \[\text{x}-\text{4y}=\text{6}\]\[\text{2x}-\text{8y}=\text{12}\]
D) \[l-\text{2m}=\text{6}\]\[3l-6m=12\]
View Answer play_arrowA) \[\text{x}=0,\text{y}=\text{1}\]
B) \[\text{x}=0,\text{y}=0\]
C) \[\text{x}=\text{1},\text{y}=0\]
D) \[~\text{x}=\text{1},\text{y}=\text{1}\]
View Answer play_arrowA) 95
B) 73
C) 84
D) 62
View Answer play_arrowquestion_answer15) Choose the dependent system from the following.
A) \[\text{m}+\text{n}=\text{7}\]\[\text{3m}+\text{3n}=\text{21}\]
B) \[\text{3x}-\text{2y}=\text{5}\]\[\text{2x}-\text{3y}=\text{7}\]
C) \[\text{3x}-\text{3y}=\text{18}\]\[\text{x}-\text{y}=\text{1}0\]
D) \[\text{2x}+\text{y}=\text{6}\]\[\text{4x}-\text{2y}=\text{4}\]
View Answer play_arrowA) 40 years, 10 years
B) 10 years, 40 years
C) 25 years, 5 years
D) 30 years, 8 years
View Answer play_arrowA) Rs.350, Rs.50
B) Rs.500, Rs.75
C) Rs.250, Rs.100
D) Rs.500, Rs.50
View Answer play_arrowA) 3
B) 1
C) 2
D) 0
View Answer play_arrowA) Consistent system
B) Inconsistent system
C) Dependent system
D) Independent system
View Answer play_arrowA) \[k=\frac{2}{3}\]
B) \[k\ne \frac{2}{3}\]
C) \[k=\frac{2}{9}\]
D) \[k\ne \frac{2}{9}\]
View Answer play_arrowA) \[l=\text{13m},\text{b}=\text{11 m}\]
B) \[l=\text{ 23 m},\text{ b }=\text{ 11 m}\]
C) \[l=\text{23m},\text{b}=\text{2}0\text{m}\]
D) \[l=\text{12 m},\text{ b }=\text{ 1}0\text{ m}\]
View Answer play_arrowA) 12m
B) 8m
C) 9m
D) 5m
View Answer play_arrowA) 14, 49
B) 16, 56
C) 18, 63
D) 24, 84
View Answer play_arrowA) k = 2
B) k = 6
C) \[k\ne 6\]
D) k = 3
View Answer play_arrowA) k = 5
B) k = 10
C) \[k\ne 10\]
D) \[k\ne 5\]
View Answer play_arrowquestion_answer26) When is the pair of linear equations \[7x-3y=4;3x\frac{k}{7}y=4\] consistent?
A) k = 9
B) \[~\text{k}=-\text{9}\]
C) \[~\text{k}\ne -\text{9}\]
D) \[~\text{k}\ne 7\]
View Answer play_arrowA) k = 1
B) \[k\ne 1\]
C) k = 2
D) k = 4
View Answer play_arrowA) 1
B) 2
C) -1
D) -2
View Answer play_arrowA) A unique solution
B) No solution
C) More than two solutions
D) Infinitely many solutions
View Answer play_arrowA) 45 years
B) 40 years
C) 50 years
D) 55 years
View Answer play_arrowA) Rs.800
B) Rs.850
C) Rs.900
D) Rs.950
View Answer play_arrowA) 25
B) 20
C) 15
D) 10
View Answer play_arrow(I) \[3x+y=19\] |
(II) \[x-y=9\] |
A) 7, 2
B) 7, -2
C) -7, 2
D) -7, -2
View Answer play_arrowquestion_answer34) If\[3x-5y=5\]and\[\frac{x}{x+y}=\frac{5}{7}\], what is the value of\[x-y\]?
A) 9
B) 6
C) 4
D) 3
View Answer play_arrowA) 2.5
B) 1
C) 0.1
D) 0.5
View Answer play_arrowquestion_answer36) If\[4x+6y=32\]and\[4x-2y=4\], find the value of 8y.
A) 24
B) 28
C) 36
D) 42
View Answer play_arrowA) \[\left( -10,-\frac{1}{2} \right)\]
B) \[\left( -10,\frac{1}{2} \right)\]
C) \[\left( 10,-\frac{1}{2} \right)\]
D) \[\left( 10,\frac{1}{2} \right)\]
View Answer play_arrowquestion_answer38) Identify the solution of\[\frac{2}{3}x-\frac{3}{4}y=1\]and\[8x-9y=16\].
A) \[\text{x}=\text{6},\text{y}=\text{4}\]
B) Infinitely many solutions
C) \[\text{x}=\text{4},\text{y}=\text{6}\]
D) No solution
View Answer play_arrowquestion_answer39) Find the values of 'x' and y for \[x-y=0.9\];\[\frac{11}{x+y}=2\]
A) 3.2, 5.6
B) 3.2, 2.3
C) 5.6, 2.3
D) 4.5, 6.4
View Answer play_arrowA) \[\text{x}=-\text{1},\text{y}=-\text{1}\]
B) \[~\text{x}=\text{1},\text{ y}=\text{1}\]
C) \[\text{x}=\text{1},\text{ y}=\text{2}\]
D) \[\text{x}=\text{2},\text{y}=\text{1}\]
View Answer play_arrowA) (-7, 3)
B) (7, -3)
C) (-3, 7)
D) (3, -7)
View Answer play_arrowquestion_answer42) Find the solution of the equations\[8x-9y=6xy\]\[10x+6y=19xy\].
A) \[x=\frac{3}{2},y=\frac{3}{2}\]
B) \[x=\frac{2}{3},y=\frac{3}{2}\]
C) \[x=\frac{3}{2},y=\frac{2}{3}\]
D) \[x=3,y=2\]
View Answer play_arrowA) \[x={{a}^{2}},y={{b}^{2}}\]
B) \[x={{b}^{2}},y={{a}^{2}}\]
C) \[x=\frac{b}{a},y=\frac{a}{b}\]
D) \[x=\frac{1}{b},y=\frac{1}{a}\]
View Answer play_arrowA) 1
B) 2
C) 3
D) 5
View Answer play_arrowA) \[x=-\frac{1}{3},y=-1\]
B) \[x=\frac{1}{3},y=-1\]
C) \[x=-\frac{1}{3},y=1\]
D) \[x=\frac{1}{3},y=1\]
View Answer play_arrowA) First quadrant
B) Second quadrant
C) Third quadrant
D) Fourth quadrant
View Answer play_arrowA) \[\text{x}=\text{8},\text{y}=\text{6}\]
B) \[\text{x}=\text{3},\text{y}=\text{4}\]
C) \[\text{x}=\text{6},\text{y}=\text{8}\]
D) \[~\text{x}=\text{4},\text{y}-\text{6}\]
View Answer play_arrowquestion_answer48) How many solutions does the system of equations,\[3x-4y=5\]and\[12x-16y=20\]have?
A) More than two solutions
B) Exactly two solutions
C) Exactly one solution
D) No solution
View Answer play_arrowA) 0
B) 1
C) 2
D) Infinitely many
View Answer play_arrowA) Consistent and a unique solution
B) Consistent and infinitely many solutions
C) Inconsistent
D) No solution
View Answer play_arrowA) 5
B) \[\frac{17}{2}\]
C) \[\frac{27}{2}\]
D) \[\frac{35}{2}\]
View Answer play_arrowA) 2
B) 3
C) 4
D) 8
View Answer play_arrowA) 0
B) 2
C) 6
D) 8
View Answer play_arrowA) Rs. 140
B) Rs. 125
C) Rs. 115
D) Rs. 110
View Answer play_arrowA) 9
B) 10
C) 11
D) 12
View Answer play_arrowA) 100
B) 102
C) 104
D) 105
View Answer play_arrowA) 40 units
B) 42 units
C) 4 units
D) 36 units
View Answer play_arrowA) 2
B) 1
C) 3
D) 5
View Answer play_arrowquestion_answer59) Two numbers differ by 3 and their product is 54. Find the numbers.
A) 9 and 6
B) -9 and -6
C) Both [a] and [b]
D) 9 and -4
View Answer play_arrowA) Rs. 900
B) Rs. 350
C) Rs. 650
D) Rs. 700
View Answer play_arrowA) \[\text{7}0{}^\circ ,\text{ 11}0{}^\circ ,\text{ 8}0{}^\circ ,\text{ 1}00{}^\circ \]
B) \[\text{7}0{}^\circ ,\text{ 8}0{}^\circ ,\text{ 11}0{}^\circ ,\text{ 1}00{}^\circ \]
C) \[\text{7}0{}^\circ ,\text{ 8}0{}^\circ ,\text{ 1}00{}^\circ ,\text{ 11}0{}^\circ \]
D) 80?, 100?, 110?, 70?
View Answer play_arrowA) \[\text{1}00{}^\circ \]
B) \[\text{9}0{}^\circ \]
C) \[\text{12}0{}^\circ \]
D) \[\text{11}0{}^\circ \]
View Answer play_arrowA) 7 years
B) 3 years
C) 5 years
D) 2 years
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