Recent questions tagged theory of equations

+2 votes

1 answer

Find the integral solutions of the following systems of inequalities

asked Mar 31, 2019 in JEE by kratos

+3 votes

1 answer

No. of non-zero positive integer solution of equation tan-1(1/2x+1)+tan-1(1/4x+1)=tan-1(2/x2)

asked Mar 31, 2019 in JEE by kratos

+3 votes

1 answer

The equation 2x^2 + 3x + 1 = 0 has an irrational root.

asked Mar 28, 2019 in JEE by kratos

+3 votes

1 answer

Let a > 0, b > 0 and c > 0. Then, both the roots of the equation ax^2 + bx + c = 0

asked Mar 27, 2019 in JEE by kratos

+2 votes

1 answer

If 2 + i is a root of the equation x^3 – 5x^2 + 9x – 5 = 0, then the other roots are

asked Mar 24, 2019 in JEE by kratos

+3 votes

1 answer

Solve : x^3 – 6x^2 + 11x – 6 = 0. since that ratio of two roots is 2 : 3

asked Mar 22, 2019 in Class 12 by kratos

+3 votes

1 answer

The positive value of k for which ke^x − x = 0 has only one root is (A) 1/e

asked Mar 19, 2019 in JEE by kratos

+3 votes

1 answer

The equation √(x + 1) - √(x - 1) = √(4x - 1) has (a) no solution (b) one solution (c) two solutions (d) more than two solutions

asked Mar 18, 2019 in JEE by kratos

+3 votes

1 answer

If 0 ≤ x <2π, then the number of real values of x, which satisfy the equation cos x + cos 2x + cos 3x +cos 4x =0, is (a) 3 (b) 5 (c) 7 (d) 9

asked Mar 16, 2019 in JEE by kratos

+1 vote

1 answer

If one root is square of the other root of the equation x^2 + px + q = 0, then the relation between p and q is

asked Mar 16, 2019 in JEE by kratos

+3 votes

1 answer

If a,b,c are the sides of a triangle ABC such that x^2 - 2(a + b + c)x + 3λ(ab + bc + ca) = 0 has real roots,

asked Mar 13, 2019 in JEE by kratos

+3 votes

1 answer

If α, β, γ are the roots of the equation x^3 - px^2 + qx - r = 0 , then the value of (1/α^2 + 1/β^2 + 1/γ^2) is:

asked Mar 12, 2019 in JEE by kratos

+2 votes

1 answer

Both the roots of the equation (x - b)(x - c) + (x - a)(x - c) + (x - a)(x - b) = 0 are always

asked Mar 12, 2019 in JEE by kratos

+1 vote

1 answer

If the roots of equation x^3 + bx^2 + cx – 1 = 0 form an increasing G.P. then

asked Mar 8, 2019 in JEE by kratos

+3 votes

1 answer

'But beauty vanishes; beauty passes' is from.........

asked Mar 7, 2019 in JEE by kratos

+1 vote

1 answer

If f (x) = x^n, n being a non-negative integer, then the values of n for which f'(α + β) = f'(α) + f'(β),

asked Mar 3, 2019 in Mathematics by kratos

+1 vote

1 answer

If a, b, c are the roots of the equation x^3 – 6x^2 + 11x – 6 = 0, then find the centroid of the triangle

asked Mar 1, 2019 in Class 12 by kratos

+1 vote

1 answer

Suppose that the Quadratic equations ax^2 + bx + c = 0 and bx^2 + cx + a = 0 have a common root.

asked Mar 1, 2019 in JEE by kratos

+1 vote

1 answer

Show that the square of (26 - 15√3)/(5√2 - (38 + 5√3)) is a rational number.

asked Mar 1, 2019 in Class 12 by kratos

+3 votes

1 answer

If α, β are the roots of the equation ax^2 + bx + c = 0. Find the value of 1/α^2 + 1/β^2 in terms of a, b, c.

asked Feb 23, 2019 in JEE by kratos

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