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question_answer1) Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below. Assertion [A] \[4x+3y=18\]is a line which is parallel to X-axis. Reason [R] The graph of linear equation \[ax=b\], where \[a\ne 0\]is parallel to Y-axis.
question_answer2) Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below. Assertion [A] The value of \[q=\pm 2\] if \[x=3,\,y=1\] is the solution of the line \[2x+y-{{q}^{2}}-3=0\]. Reason [R] The solution of the line will satisfy the equation of the line.
question_answer3) Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below. Assertion [A] The graphical representation of \[x+2y-4=0\] and \[2x+4y-12=0\]will be a pair of parallel lines. Reason [R] Let \[{{a}_{1}}x+{{b}_{1}}y+{{c}_{1}}=0\]and \[{{a}_{2}}x+{{b}_{2}}y+{{c}_{2}}=0\] be two linear equations and if\[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{b}_{1}}}{{{b}_{2}}}\ne \frac{{{c}_{1}}}{{{c}_{2}}}\], then the pair of equations represent parallel lines and they have no solution.
question_answer4) Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below. Assertion [A] The graphical representation of 2x + y = 6 and 2x - y +2=0 will be a pair of parallel lines. Reason [R] When k = -1, then linear equations 5x + ky = 4 and 15x + 3y = 12 have infinitely many solutions.
question_answer5) Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below. Assertion [A] The value of k for which the system of equations\[kx-y=2\], \[6x-2y=3\]has a unique solution is 3. Reason [R] The system of linear equations \[{{a}_{1}}x+{{b}_{1}}y+{{c}_{1}}=0\] and \[{{a}_{2}}x+{{b}_{2}}y+{{c}_{2}}=0\] has a unique solutions, if \[\frac{{{a}_{1}}}{{{a}_{2}}}\ne \frac{{{b}_{1}}}{{{b}_{2}}}\].
question_answer6) Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below. Assertion [A] Pair of linear equations : \[9x+3y+12=0\], \[18x+6y+24=0\]have infinitely many solutions. Reason [R] Pair of linear equations \[{{a}_{1}}x+{{b}_{1}}y+{{c}_{1}}=0\] and \[{{a}_{2}}x+{{b}_{2}}y+{{c}_{2}}=0\]have infinitely many solutions, if \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{b}_{1}}}{{{b}_{2}}}=\frac{{{c}_{1}}}{{{c}_{2}}}.\]
question_answer7) Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below. Assertion [A] If the system of equations \[2x+3y=7\] and \[2ax+\left( a+b \right)y=28\]has infinitely many solutions, then\[2a-b=0\]. Reason [R] The system of equations \[3x-5y=9\]and \[6x-10y=8\] has a unique solution.
question_answer8) Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below. Assertion [A] When k = - 4, then linear equations\[x+\left( k+1 \right)=5\],\[\left( k+1 \right)x+9y=8k-1\]have infinitely many solutions. Reason [R] \[{{a}_{1}}x+{{b}_{1}}y={{c}_{1}}\]and \[{{a}_{2}}x+{{b}_{2}}y={{c}_{2}}\]have infinitely many solutions, if\[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{b}_{1}}}{{{b}_{2}}}=\frac{{{c}_{1}}}{{{c}_{2}}}\].
question_answer9) Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below. Assertion [A] \[x+y-4=0\] and \[2x+ky-3=0\] has no solution if k = 2. Reason [R] \[{{a}_{1}}x+{{b}_{1}}y+{{c}_{1}}=0\] and \[{{a}_{2}}x+{{b}_{2}}y+{{c}_{2}}=0\] are consistent, if \[\frac{{{a}_{1}}}{{{a}_{2}}}\ne \frac{{{k}_{1}}}{{{k}_{2}}}\].
question_answer10) Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below. Assertion [A] A two-digit number is obtained by either multiplying sum of the digits by 8 and adding 1 or by multiplying the difference of digits by 13 and adding 2. The number is 41. Reason [R] The linear equations used are \[7x-2y+1=0\] and\[12x-23y+2=0\].
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