3x + 4|y| = 33. How many integer values of (x, y) are possible?
(|x| - 3) (|y| + 4) = 12. How many pairs of integers (x, y) satisfy this equation?
x + |y| = 8, |x| + y = 6. How many pairs of x, y satisfy these two equations?
What is the number of real solutions of the equation x2 - 7|x| - 18 = 0?
x2 - 9x + |k| = 0 has real roots. How many integer values can 'k' take?
x2 - 11x + |p| = 0 has integer roots. How many integer values can 'p' take?
2x + 5y = 103. Find the number of pairs of positive integers x and y that satisfy this equation.
Consider three numbers a, b and c. Max (a,b,c) + Min (a,b,c) = 13. Median (a,b,c) - Mean (a,b,c) = 2. Find the median of a, b, and c.
a1x + b1y + c1z = d1, a2x + b2y + c2z = d2, a3x + b3y + c3z = d3. Which of the following statements if true would imply that the above system of equations does not have a unique solution? i. ii. ; iii. a1, a2, a3 are integers; b1, b2, b3 are rational numbers, c1, c2, c3 are irrational numbers
Equation x2 + 5x – 7 = 0 has roots a and b. Equation 2x2 + px + q = 0 has roots a + 1 and b + 1. Find p + q.
Sum of the roots of a quadratic equation is 5 less than the product of the roots. If one root is 1 more than the other root, find the product of the roots?
How many real solutions are there for the equation x2 – 7|x| - 30 = 0?
If (3x+2y-22)2 + (4x-5y+9)2 = 0 and 5x-4y = 0. Find the value of x+y.
Let x3- x2 + bx + c = 0 has 3 real roots which are in A.P. which of the following could be true
(3 + 2√2)(x2 - 3) + (3 - 2√2)(x2 - 3) = b which of the following can be one of the roots of the equation
If f(y) = x2 + (2p + 1)x + p2 - 1 and x is a real number, for what values of ‘p' the function becomes 0?
A merchant decides to sell off 100 articles a week at a selling price of Rs. 150 each. For each 4% rise in the selling price he sells 3 less articles a week. If the selling price of each article is Rs x, then which of the below expression represents the rupees a week the merchant will receive from the sales of the articles?
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