Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): In a ΔABC, ∠C = 3∠B = 2(∠A + ∠B), then ∠A = 20°.
Reason (R): The angles of a triangle are x, y and 40°. The difference between the two angles x and y is 30°, then x = 85° and y = 55°.
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion : The linear equations x  2y  3 = 0 and 3x + 4y  20 = 0 = have exactly one solution.
Reason : The linear equations 2x + 3y  0 = and 4x + 6y  18 = 0 = have a unique solution.
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Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion : The value of k for which the system of linear equations kx – y = 2 and 6x – 2y = 3 has a unique solution is 3.
Reason : 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 solution if a_{1}/a_{2} ≠ b_{1}/b_{2}
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): The solution of the pair of linear equations x + y = 5 and 2x – 3y = 4 is x = 19/5 and y = 6/5.
Reason (R): The solution of the pair of linear equations 3x + 4y = 10 and 2x – 2y = 2 is x = 2 and y = 1.
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion : 3x  4y = 7 and 6x  8y = k have infinite number of solution if k = 14 .
Reason : a_{1}x + b_{1}y + c_{1} = 0 and a_{2}x + b_{2}y + c_{2} = 0 have a unique solution if a_{1}/a_{2} ≠ b_{1}/b_{2}.
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion : The value of q = ±2, if x = 3, y = 1 is the solution of the line 2x + y – q^{2} – 3 = 0.
Reason : The solution of the line will satisfy the equation of the line.
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): If 4 chairs and 3 tables cost ₹ 2100 and 5 chairs and 2 tables cost ₹ 1750, then the cost of 1 chair is ₹ 150.
Reason (R): Sum of the ages of a father and the son is 40 years. If father's age is 3 times that of his son, then the son's age is 12 years.
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion : The lines 2x  5y = 7 and 6x  15y = 8 are parallel lines.
Reason : The system 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 a_{1}/a_{2} = b_{1}/b_{2} = c_{1}/c_{2}
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion : A pair of linear equations has no solution (s) if it is represented by intersecting lines graphically.
Reason: If the pair of lines are intersecting, then the pair has unique solution and is called consistent pair of equations.
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): If the equation 3x – y + 8 = 0 and 6x – ky = –16 represent coincident lines, then the value of k = 2.
Reason (R): If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel, then the value of k is 15.
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion : If kx  y  2 = 0 and 6x  2y  3 = 0 = are inconsistent, then k = 3
Reason : a_{1}x + b_{1}y + c_{1} = 0 and a_{2}x + b_{2}y + c_{2} = 0 are inconsistent of a_{1}/a_{2} = b_{1}/b_{2} ≠ c_{1}/c_{2}
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion : The number of common solutions for the system of linear equations 5x + 4y + 6 = 0 and 10x + 8y = 12 is zero
Reason : 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 solution if a_{1}/a_{2} ≠ b_{1}/b_{2}
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): For all real values of c, the pair of equations x – 2y = 8 and 5x – 10y = c have a unique solution.
Reason (R): Two lines are given to be parallel. The equation of one of the lines is 4x + 3y = 14, 12x + 9y = 5.
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion : Pair of linear equations : 9x + 3y + 12 = 0, 18x + 6y + 24 = 0 have infinitely many solutions.
Reason : 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, a_{1}/a_{2} = b_{1}/b_{2} = c_{1}/c_{2}
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion : The value of k for which the system of linear equations 3x – 4y = 7 and 6x  8y = k have infinite number of solution is 14.
Reason : 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 solution if a_{1}/a_{2} ≠ b_{1}/b_{2}
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126 videos477 docs105 tests

Assertion & Reason Test: Quadratic Equation Test  10 ques 
Assertion & Reason Test: Arithmetic Progressions  1 Test  10 ques 
Assertion & Reason Test: Arithmetic Progressions  2 Test  10 ques 
Assertion & Reason Test: Coordinate Geometry Test  10 ques 
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