Recently Active Questions

If a, b, c are the sides of triangle ABC satisfying log(1+c/a) + log a – log b = log 2. Also a(1 – 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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The potential energy U between two molecules as a function of the distance X between them has been shown in the figure. The two molecules are *Image* a) Attracted when x lies between A and B and are repelled when X lies betwe ...

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

A circle touches the side BC of a ∆ABC at a point P and touches AB and AC when produced, at Q & R respectively. If AQ = m * (perimeter of ∆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 ∩ B) = 0.14, then P(A ∩ (B')) = 0.61 0.39 0.48 0.11 ...

If tan2θ = 1-k2,s.t. sec2θ+tan3θ cosecθ = (2-k2)3/2 ...

*Image* Try to apply some other method than maxima minima(if you can). ...

*Image* A solid iron sphere of radius=1m is just submerged in a water tank. A point source of light is kept vertically above its center at a distance 1m from the water surface. Find the area of the sphere's shadow. Refractive ...

For x ε (0, π/2) and sin x = 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. ...

Assertion: If pressure of an ideal gas is doubled and volume is halved, then its internal energy will remain unchanged. Reason: Internal energy of an ideal gas is a function of temperature only. ...

Assertion: In a standing wave x=0 is a node. Then total mechanical energy lying between x=0 and x= λ/4 is not equal to the energy lying between x= λ/4 and x= λ/2 . Reason: In standing waves different particles oscillates w ...

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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 ...

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Assertion: In series combination, charges on two capacitors are always equal. Reason: If charges are same, the total potential difference applied across two capacitors will be distributed in inverse ratio of capacities. ...

Assertion: Electric field produced by a variable magnetic field can't exert a force on a charged particle. Reason: This electric field is non-conservative in nature. ...

Assertion: In series L-C-R circuit, voltage will lead the current function for frequency greater than the resonance frequency. Reason: At resonance frequency, phase difference between current function and voltage function is ...

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

Assertion: A small electric dipole is moved translationally from higher potential to lower potential in uniform electric field. Work done by electric field is positive. Reason: When a positive charge moved from higher to lowe ...

Assertion: A charge particle is moving in a circle with constant speed in uniform magnetic field. If we increase the speed of the particle to twice, its acceleration will became four times. Reason: In circular path of radius ...

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 ...

Viruses are made of a) Lipoprotein b) Glycosides c) Nucleoprotein d) Lipids ...

A ball is thrown vertically upward from the 12 metre level with an initial velocity Of 18 metres / second. At the same instant an open platform elevator passes the 5 metre level, moving upward with a constant velocity of 2 me ...

If x is a +ve number then , ∫ xπ /x-1 dx ...