Recently Active Mathematics Questions

If C is a point on the line segment joining A (–3, 4) and B (2, 1) such that AC = 2BC, then the coordinate of C is ...

S=Σn=1∞tan-11/(2n+21-n) (n ---1 to infinity) Find S. ANS.Π/4 ...

Given,[cos-1sin-1tan-1x]=1 []=greatest integer function Then prove x lies in interval (tan sin cos2,tan sin cos 1] ...

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For any complex number z, the minimum value of | z | + | z – 1 | is (A) 0 (B) 1 (C) 2 (D) –1 ...

a function f(x) satisfies f(1)=3600 and f(1)+f(2)............f(n)=n2f(n) for all +ve integers n>1 find f(9) ...

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if a,b and c are unit vectors, then *Image* does not exceed? ...

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Find all positive solutions to the following Diophantine equation ------ a 4 + b 4 + c 4 + d 4 + e 4 + f 4 + g 4 + h 4 = 26959 . ...

The co-ordinates of the foot of the perpendicular from (0, 0) upon the line x + y = 2 are (A) (2, –1) (B) (–2, 1) (C) (1, 1) (D) (1, 2) ...

If A is a square matrix then, (A) A + AT is symmetric (B) AAT is skew - symmetric (C) AT + A is skew-symmetric(D) ATA is skew symmetric ...

The angle between the lines joining the foci of an ellipse to one particular extremity of the minor axis is 90º. The eccentricity of the ellipse is ...

SHOW THAT a12- b12 IS DIVISIBLE BY 91 ,IF a AND b ARE BOTH PRIME TO 91 ...

A train moving with constant acceleration takes t seconds to pass a certain fixed point and the front and back end of the train pass the fixed point with velocities u and v respectively. Show that the length of the trai is (u ...

Find the values of ‘a’ for which the expression x2 – (3a – 1)x + 2a2 + 2a – 11 is always positve. ...

Find the sum of the first n terms of the series 0.2 + 0.22 + 0.222 + .......... ...

Using binomial theorem, the value of (0.999)3 correct to 3 decimal places is (A) 0.999 (B) 0.998 (C) 0.997 (D) 0.995 ...

If a, b, c are real, then both the roots of the equation (x – b) (x – c) + (x – c) (x – a) + (x – a) (x – b) = 0 are always (A) positive (B) negative (C) real (D) imaginary ...

A line through the point A (2, 0) which makes an angle of 30º with the positive direction of x-axis is rotated about A in clockwise direction through an angle 15º. Then the equation of the straight line in the new position ...

If the rate of increase of the radius of a circle is 5 cm/.sec., then the rate of increase of its area, when the radius is 20 cm, will be (A) 10Ï€ (B) 20Ï€ (C) 200Ï€ (D) 400Ï€ ...

f(x) = x + | x | is continuous for (A) x∈(−∞,∞) (B) x∈(−∞,∞) −{0} (C) only x > 0 (D) no value of x ...

A polygon has 44 diagonals. The number of its sides is (A) 10 (B) 11 (C) 12 (D) 13 ...

The number of points on the line x + y = 4 which are unit distance apart from the line 2x + 2y = 5 is (A) 0 (B) 1 (C) 2 (D) Infinity ...

Angle between y2 = x and x2 = y at the origin is ...

The equation 3 sin x + cos x = 4 has (A) only one solution (B) two solutions (C) infinitely many solutions (D) no solution ...

A and B are two independent events such that P(A∪B') = 0.8 and P(A) = 0.3. The P(B) is ...

evaluate 1) \sum_{n=1}^{\infty }\frac{1}{n^3(n+1)^3} 2) \sum_{n=1}^{\infty }\frac{1}{n^2(n+1)^2} ...

Please solve this one for me : *Image* ...

evaluate- \sqrt{2011+2007\sqrt{2012+2008\sqrt{2013+2009\sqrt{2014+.........\infty}}}} ...