
A flight of stairs has 10 steps. A person can go up the steps one at a time, two at a time, or any combination of 1's and 2's. Find the total number of ways in which the person can go up the stairs. ...

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If a, b, c are the sides of triangle ABC satisfying log(1+c/a) + log a â€“ log b = log 2. Also a(1 â€“ x2) + 2bx + c(1 + x2) = 0 has two equal roots. Find the value of sin A + sin B + sin C. ...

If (sin(theta)) + (sin(theta))2 + (sin(theta))3 = 1, prove that (cos(theta))6  4 (cos(theta))4 + 8 (cos(theta))2 = 4. Guys, I need an answer urgently. TOMORROW IS MY MATHS EXAM(YEAH,I'M GIVING MY ICSE EXAMINATION) AND I NEED ...

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Construct tringle ABC, having given BC = 7; AB  AC = 1; Angle ABC = 45Â°. Pl. outline the steps. thanks... ...

A circle touches the side BC of a âˆ†ABC at a point P and touches AB and AC when produced, at Q & R respectively. If AQ = m * (perimeter of âˆ†ABC), then m = ? 2 1/2 4 1/4 ...

CP and CQ are tangents from an external point C to a circle with centre O .AB is another tangent which touches the circle at R and intersects PC and QC at A and B respectively . If CP = 11cm and BR = 4cm, then find the length ...

Find the radius of the circle inscribed in the square. *Image* 36 cm 24 cm 72 cm 30 cm Go to the site to view the image. ...

If P(A) = 0.25, P(B) = 0.5, P(A âˆ© B) = 0.14, then P(A âˆ© (B')) = 0.61 0.39 0.48 0.11 ...

If tan2Î¸ = 1k2,s.t. sec2Î¸+tan3Î¸ cosecÎ¸ = (2k2)3/2 ...

For x Îµ (0, Ï€/2) and sinÂ xÂ =Â 1/3, if \sum_{n=0}^{\infty }\frac{sin(nx)}{3^{n}}=\frac{a+b\sqrt{b}}{c} then find the value of (a + b + c), where a, b, c are positive integers. ...

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a hollow cone is cut by a plane parallel to the base and upper portion is removed. if the curved surface area of the remainder is 8/9 of the curved surface area of the whole cone, find the ratio of the line segments into whic ...

A+B+C= Î /2 p.t. +cos2A+cos2B+cos2C=2(1+sinAsinBsinC) ...

A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 8 cm and 6 cm respectively (see given figure). Find the sides ...

If x is a +ve number then , âˆ« xÏ€ /x1 dx ...

P.t. (1+x)3/4+( 1+5x) /(1x)2 = 2+ 29/4 x + 297/32 x2(nearly ...) ...

Which of the following represents the same graph as {x}={y} a) tan(πy)=tan(πx) b) sin(πy)=sin(πx) c) cos(πy)=cos(πx) d) None of these ...

âˆ« x2/x4+x22 dx ...

10 DISTINCT alphabetas are given. 5 letter words are to be formed . no. of ways in which at least one allphabet is repeated . is : ...

If the equation ax3+3bx2+3cx+d=0 has two equal roots,show that it must be equal to bcad/2(acb2) . ...

show that  Lt (2+x)sin(2+x)  2sin2 /x = 2cos2 + 2sin2 xâ†’ 0 ...

calcullate : Lt asinxxsina /ax2ax2x xâ†’a. ...

âˆ« sin(n+ 1/2 )x/sinx .dx. Integration from 0 to Ï€. n is a natural number. ...

cosec Î¸ = cot Î¸ + âˆš3 ...