Concepts discussed on Feb 24, 2018
Arithmetic - Linear & Quadratic Equations
Welcome to the live session of Linear and Quadratic equations. The concepts and questions discussed on Feb 24, 2018 during the live session follow the embedded video. The video link next to each concept will take you to the start of the part of the video where that specific concept is discussed. Click the video embedded below to watch the entire session.
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The average of two numbers A and B is D. The average of D and C is 2 more than the average of A, B & C. What is the difference between C and the average of A & B?
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Find the value of ‘y’.
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In a school, there are 3 classes A, B & C. If 10 students are shifted from B to A, then A will have th of the number of students that are present in C. If 10 students are shifted from C to A, then B will have as many students as A and C put together. If 20 students are shifted from B to C, then C will have thrice as many students as A. What is the average of the number of students in A, B & C?
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If the roots of the equation x2 – bx + c = 0 be two consecutive integers, then b2 – 4c equals?
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The equation x2 – 8x + 12 = 0 has roots p and q. The equation x2 + ax + b = 0 has roots that are p2 + q2 and 2pq. What is the sum of a and b?
Easy Questions
Medium Questions
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The equation x2 – 12x + q = 0 has roots a and b. If a3 + b3 = 100. Find q.
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x2 – 12x + k = 0 has real roots. If |k| < 15, how many integer values can ‘k’ take?
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a1x + b1y = c1; a2x + b2y = c2. If the above system of equations have a unique solution, which of the following could be true?
i) a1b2 = a2b1
ii) c1b2 = c2b2
iii) a2 = 0, a1 x b1 x b2 not equal to 0. -
If x2 + 4ax + 10 – 3a > 0 for all real value of x, then what is the range of values ‘a’ can take?