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Find no of points having integral coordinates on line 3x+5y=2007 in first quadrant excluding coordinate axes..... .........................(FIITJEE AITS ) ...

Discuss everything related to 1st Phase test here [1] All queries ... related to any question/explanation or anything [3] ...

can v download a copy of morrison boyd????? or solomon?????????? plzzzzz if u guyz kno bout it then lemme kno............ ...

Find the area under one loop of r=acos4θ ...

*Image* A uniform sphere of mass m and radius r rolls without sliding over a horizontal plane, rotating about a horizontal axle OA. in the process, the center of the sphere moves with velocity v along a circle of radius R. Fi ...

lim x->0 tan [(sin-1 x4 - siin-1 x9)/4] ...

*Image* After making exactly (n-1) collisions with the horizontal walls of the board (upper and lower combined) the particle falls into the pocket B.Obviously, the (n-1)th collision takes place on the upper wall.Find out the ...

Discuss the various possibilities for differetn ranges of v0 . velocity is parallel to AB case(i) - when it passes from AB to BC smoothly i.e. along the surface . case-(ii) - when it loses contact at B. case(iii)- when it mov ...

Prove some of these very easy but tough looking things (Dont get bogged down.. they are simple.. If you dont know them try to know these simple things! With the proof of course) 1) Any Prime is of the form 6t+1 or 6t-1 2) Any ...

7. An N turn metallic ring of radius a, resistance R, and inductance L is held fixed with its axis along a spatially uniform magnetic field ~B whose magnitude is given by B0 sin(ωt). (a) Set up the emf equation for the curre ...

A particle moves along a semicircular path of radius R in time t with constant speed. For the particle calculate average acceleration. answer given is : 2Î R/t2 why (2 x avg speed/time) is taken n not (2x avg velocity/time) & ...

try to prove the following inequality given that a,b,c are positive reals Cyclic[(a^2) / {b(a + 2b)}] >= 1 a harddddddddddddddddd problem not at all easy unless u guys know Cauchy Schwarz inequality ...

the position vectors of point P nd Q re p and q respectively. if O is the origin and R is a point in the interior of angle POQ such that OR bisects the angle POQ then find the unit vector along OR ...

Find the equation of the parabola whose axis is parallel to y-axis and which passes through the points (0,4) (1,9) (-2,6) and determine its latus rectum.??? ...

What is levelling effect of water??? ...

equation of locus of point of intersection of 2 tangents of d hyperbola x2/a2-y2/b2 =0 such dat d sums of their slopes is 5 ...

two straight lines rotate abt two fixed points (-a,0) and (a,0) . if they start from their position of coincidence such that one rotates at the rate double the other, then... locus of the curve is ?? ... 1)circle 2)pa ...

A point on the hypotenuse of a right triangle is at a distance ‘a’ and ‘b’ from the sides of the triangle.The minimum length of the hypotenuse is........................ ...

*Image* can u find it>?>?>>?> ...

if z is a complex number then the greatest value of z which satisfies the equation modulus(z-12)/modulus(z-8i)=5/3 and mod(z-4)/mod(z-8i)=1 is a.10 b.10√13 c.12√5 d.none of these. ...

1)Tan-1{x/ a2-x2 } convert 2 simplest form. 2)sin-1{(sin x +cos x)/ 2 } ;-Î /4<x<Î /4 3)if a>b>>c>0,prove that cot-1(ab+1/a-b) + cot-1(bc+1/b-c) + cot-1(ca+1/c-a)= Î ...

f(x) and g(x) are two polynomials such that f(x2+x+1)=f(x)g(x). Show that f(x) is a polynomial of even order.(i.e. highest power of x in f(x) is even). ...

Some earlier must see posts:(Interesting ones) If U were not a part of these discussions then u missed sumthing but should see it... (if u know such post helpful for others then can post here :) 1. A very nice discussion on m ...

*Image* In the above figure , if both blocks are at rest at t= 0, find the time after which the blocks collide.Treat the blocks as point masses and the initial separation as √2 m. Answer - (2/√5)s. ...

∫x2/xsinx+cosx ...

Find the foot of the perpendicular from P(1, 2, 3) on the line (sum line is given..........)....... Also obtain the equation of the plane containing the line and the point (1, 2, 3)........... My doubt is how do we find the e ...

∫ 1 /( 3 + 2 SIN x + 3 COS2 x + SEC 2 x) dx ...

pH of Aquous solution of HCl is 6.5 Find the [Cl -] ...

Q3 A reversible adiabatic expansion is an Your Answer: isoentropic process Correct Answer: isochoric process Score: -1 Explaination : no need this is the question in olympiad section which is there in test column sir i think ...

no. of real solution of 2x/2+(√2+1)x=(5+2√2)x/2 is ...