Recently Active Mathematics Questions

∫ sin(n+ 1/2 )x/sinx .dx. Integration from 0 to π. n is a natural number. ...

cosec θ = cot θ + √3 ...

The value of the expression 47C4 + j=15Σ52-j C3 IS ... ...

Find the H.C.F. of the minimum non-negative values of a,b and c, given that the equation x4+ax3+bx2+cx+1=0 has only real; roots ... ...

The chord of contact of the pair of tangents drawn from each point on the line 2x+y=4 to the circle {{x}^{2}}+{{y}^{2}}=1 pass through the point a) (1/2, – 1/4) b) (1/2, 1/4) c) (– 1/2, 1/4) d) (– 1/2, – 1/4) ...

For positive integers n1 and n2 , the value of the expression (1+i)n1+(i+13)n1+(i+15)n2+(i+17)n2 here i= -1 is real if and only if (A)n1=n2+1 (B) n1=n2-1 (C) n1=n2 (D)n1>0,n2 >0 pl post the soln as well . ...

*Image* ...

f(x) is defined for x > −1 and has a continuous derivate. If f satisfies f(0) = 1, f′(0) = 0; (1 + f(x)) f′′(x) = 1 + x. If x is positive then f′(x) is (A) always positive (B) always negative (C) always non-negat ...

*Image* a)For the first part the expected value would be = E(x)=\frac{1}{2}+2\left(\frac{1}{2}\right)^2+3\left(\frac{1}{2}\right)^3+\cdots=2 b)For the second part the expected value would be = E(x)=\frac{1}{2}+\frac{2}{4}+\fr ...

The solution set of frac{{{x^2} - 3x + 4}}{{x + 1}} > 1,,x in R , is a) (3,,, + infty ) b) ( - 1,,,1) cup (3,,, + infty ) c) [ - 1,,,1] cup [3,,, + infty ) d) None of these ...

tan-1(2x+1/(1-4x)) ...

find dy/dx if- y=sin2(cot-1(√(1+x)/√(1-x)) ...

tan-1((√(1+x)-√(1-x))/(√(1+x)+√(1-x))) ...

If a,b,c are in H.P.. prove that : sin2 A/2 ,sin2 B/2 and sin2 C/2 ARE ALSO IN h.p. ...

If sin A,sin B,sin C are in A.P. prove that the altitudes are in H.P . ...

If ω be the angle which a focal chord of a parabola makes with the axis, prove that the length of the chord is 4acosec2ω ...

If cos A + 2 cos B/cos A + 2 cos C = sin B/sin C then prove that the triangle is isoceles or rt. angled. ...

16sin22x + 16cos22x = 10 find the number of solutions between (0,2pi) ...

cosx + cos2x + cos3x + cos4x=2 find the general solutions ...

1 )find general solution of 1+ sin3x + cos3x= 3/2sin2x 2)Solve √3cosx - 3sinx= 4sin2xcos3x 3) Solve 3√3sin3x + cos3x + 3√3sinx + cos = 1 ...

7+77+777+7777+....+7777.......7(n-digit)= 7/81 (10n+1-9n-10) plzz...help to solve it..i m not getting the L.H.S. equation... ...

what is the area enclosed within the curve |x|+|y|=1 ? ...

There are four outlet pipes of the same capacity fixed one above the other to a water tank. The first pipe is at the bottom level and the fourth pipe is at three-fourths of the height of the tank. The third pipe is equidistan ...

1)If α and β are ends of a focal chord of an ellipse of eccentricity e, find tan(α/2).tanβ(/2) 2)Normals drawn to ellipse x2/a2 + y2/b2 =1 at P meet the coordinate axes at A, B. Find the locus of mid point of A and B. 3)A ...

32tan8θ=2cos2α+3cosα 3cos2θ=1 find the general solution for α. ...

Sin8x+Cos8x=17/32. find the general solution for x. ...

Cot 2x=Sin x+Cos x find the general solution of x. ...

cos x-sin 3x=cos2x find the general solution for x. ...

p.t. tan 70°=tan 20°+2tan40°+4tan 10° ...

given := triangle ABC A→(h,k) a1x +b1y + c1 =0 is the equn of the angle bisector of B(it MAY B INT. AS WEL AS EXTERIOR ) a2x +b2y + c2 =0 is the equn of the angle bisector of C(it MAY B INT. AS WEL AS EXTERIOR ) Find the eq ...