
The equation x + frac{2}{{1  x}} = 1 + frac{2}{{1  x}}, has a) No real root b) One real root c) Two equal roots d) Infinitely many roots ...

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I am stuck with L Hospital rule. Its not explained properly in my textbook. Please tell me how to find limits using this rule. ...

Prove that n*(n+1)*(2n+1) is divisible by 6, for any n>0 ...

The answer is given as only transitive. Why? Can someone please explain ...

1.the radius of the circle whose centre is[4,0] and which cuts the parabola y2=8x at A and B such that its common chord AB subtends a right angle at the vertex of the parabola is equal to a.4 b.3 c. 18 d.5 2.a normal is draw ...

In Δ PQR, A, B and C are points on PQ, QR and PR such that PA/AQÂ =QB/BRÂ =RC/CPÂ =23. If the area of ΔPQR = 100 sq.cm, then what is the area of ΔABC in sq.cm? a) 28Â sq. cm b) 44.44 sq.cm c) 36 sq.cm d) 16. ...

If Tan A/2 = (Tan B/2)3 and Tan B = 2 Tan C then find (A + B)\C. ...

If z1,z2 and z3,z4 are two pairs of conjugate complex numbers, prove that arg(z1/z4) + arg(z2/z3) = 0. ...

If m men and n women are to be seated in a row such that no two women seat together,then find the ways in this can be done. ...

The value of {{log }_{3}}27= a) 3 b) 3 c) Cannot be determined d) None of these ...

prove that the polars of any point with respect to a system of coaxal circles all pass through a fixed point and that the two points are equidistant from the radical axis and subtend a right angle at a limiting point of the s ...

12+14+24+58+164+........+n=????? The answer is 3nn2+11n1 Please someone show me the way to solve it. ...

if the point [3,4] lies on the locus of the point of intersection of the lines xcos(Î±)+ysin(Î±)=a and xsin(Î±)ycos(Î±)=b, (Î± is variable), the point (a,b) lies on the line 3x4y=0 then 9a4+16b4+34 is equal to ...

The ratio of A.M. (arithmetic mean) and G.M. (geometric mean) of two positive number a and b is m:n. Prove that a:b = (m2 + m2  n2 ):(m2  m2  n2 ...

which one is greater: A=20104019 or B=2009200920112011 ...

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PN, PM, and AB are tangents to the circle as shown. If PM = 11 in., then find the perimeter of Î”PAB. *Image* 32 in. 27 in. 26 in. 22 in. ...

If the points (â€“5, 1), (p, 5) and (10, 7) are collinear, then the value of p will be a) 5 b) 3 c) 4 d) 7 ...

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How high is a parabolic arch of span 24 m and height 18m at a distance of 8 m from the centre of the span? ...

If the points (1, 1), (â€“1, â€“1) and (√3, k) are vertices of an equilateral triangle then the value of k will be a) 1 b) 1 c) √3 d) √3 ...

when an article is sold for Rs.X ,loss percentage is equal to L%. however,when same article is sold for Rs. Y ,profit percentage is equal to P%. what is CP of that article? ...

1.\int_{0}^{x}[1+t]^{3}dt 2.\int_{0}^{x}[x]dx plz help sir ...

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Which of the following figures has the largest area? I. A circle of radius *Image* II. An equilateral triangle whose sides each have length 4 III. A triangle whose sides have lengths 3, 4 and 5 a) I b) II c) III d) I and III ...

find the order and degree of the differential equation if its solution is (y+c)^2=xc ...

The common factors of the terms 6ab2, 4b3, and 2a2b2 are 4, a, b 2, a, b2 3, a, b2 2, b, b Your Answer d Correct Answer b if there is no 'a' in the 2nd term then how can the answer be 2,a,b2? ...

1) Prove that âˆ«x3 2axx2 dx=7Ï€a5/8. 2) Integrate: [ x4/(1x4)] *cos1(2x/(1+x2). Upper limit=1/ 3 ;Lower limit=1/ 3 . 3) Integrate::: 2x2/[(1+x) 1x2 ].Upper limit=1;Lower limit=0. 4) Integrate:::: log(1+tanx) from 0 to ...

Let f(x) be a non constant twice differentiable function defined on (âˆž,âˆž) such that f(x)=f(1x) and f'(1/4)=0.Then a) f''(x) vanishes at least twice on [0,1] b) f'(1/2)=0 c) âˆ«(frm 1/2 to 1/2)f(x+1/2)sinxdx=0 d) âˆ«(fr ...