Popular Fundamentals Questions

draw d graph of [y]=[x]... ...

LCM of two fractions -- a1/b1 & a2/b2 is = LCM(a1,a2) / HCF(b1.b2) . Prove ...

Pick the odd one out. 1.JOT 2.OUT 3.DOG 4.DIN 5.FED We eat so that we ...... live 1.MAY 2.CAN 3.MUST 4.MIGHT The area of the parallelogram formed by the tangents at the extremities of cojugate diameters of the standard hyperb ...

ex is defined as e^x= \frac{x^0}{0!}+\frac{x^1}{1!}+\frac{x^2}{2!}+\frac{x^3}{3!}+.......... for x=0, e^0= \frac{0^0}{0!}+\frac{0^1}{1!}+\frac{0^2}{2!}+\frac{0^3}{3!}+.......... but we know that e0 is 1 So 1= \frac{0^0}{0!}+\ ...

given a quadratic equation f(x)=ax2+bx+c what are the conditions for 1}both roots to be greater than a specified number k 2}given number k lies between both the roots 3}both roots are confined within numbers p and q it would ...

The value of a2+b2+c2 where c=ab and a and b are consecutive integers is always c+1 (TRY IT OUT). This will be useful in vectors and 3-D to calculate the denominator in formula to find angle and to find easily unit vectors. P ...

Fermat's Little theorem states taht .... If p is prime, then P divides ap-a A good question for congruences.... To understand and implement it.... I am giving the guidelines on how to approach and solve.. see if it fits your ...

A very simple one... specially the 2nd one... a) if x+y+z=0, x3+y3+z3=3xyz b) Prove that if x, y, z are positive, x3+y3+z3≥3xyz ...

Q We know that tan(A+B)=tanA+tanB/1-tanAtanB now we waana find the value of tan ∩. A child puts both A and B as ∩/2 But now he is trapped a tan ∩/2 is not defined. He solved the question by the use of L Hospital But he ...

A traffic light is green for 30 seconds, then red for 30 seconds, then green for 30 seconds and so on. What is your expected delay? ...

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Q. Find the equation of the circle circumscribing the triangle formed by the lines :x+y=6 , 2x+y=4, and x+2y=5 , without finding the vertices of the triangle? ...

1) x , y , z are +ve nos. such that x + y + z = 1 (A) : [ (1-2x)+(1-2y)+(1-2z) ]/3 ≥ [ (1-2x)(1-2y)(1-2z) ]1/3 (R) : For +ve nos. A.M. ≥ G.M. A,B,C,D have the same usual meanings. ...

IF DELHI IS CAPITAL OF INDIA THEN , INDIA IS ----------------- OF DELHI [fill in the blank] ...

Aieee maths- http://www.scribd.com/doc/37965921/Arihant-AIEEE-Mathematics Aieee physics- http://www.scribd.com/doc/37966495/Arihant-AIEEE-Physics chemistry- solomons,graham-fundamentals of Organic Chemistry - http://www.scrib ...

Prove that for any " x , y > 0 " , x x + y y ≥ x y + y x ...

*Image* Can we say that it is a function? "of form x = f(y) " ...

A team needs 7 runs to win from 3 balls. both batsmen at crease are at 94 runs each. At end of the match , both batsmen score centuries and the team wins.how is it possible?BOTH BATSMAN SHOULD BE NOT OUT. ...

A person is to walk from A to B. However he is restricted to walk only to the right of A or upward of A, but not necessarily in this order. in the figure there are m vertical and n horizontal lines. Determine the total number ...

wat is skew hermitian in matrix plz tell me im unable to understand from books ...

Really Simple Question which i cudn't do [2] If out of a group of students, atleast 90 % have chosen Sports, atleast 80 % chose Music and atleast 70 % chose Studies, then the % of students who have chosen all three is atleast ...

If 1+\frac{1}{4}+\frac{1}{9}+....inf is equal to \frac{\pi ^{2}}{6} then 1+\frac{1}{9}+\frac{1}{25} .....inf is equal to a) \frac{\pi ^{2}}{8} b) \frac{\pi ^{2}}{3} c) \frac{\pi ^{2}}{12} d) \frac{\pi ^{2}}{4} how do you solv ...

1] n_{C_{4}} \;, n_{C_{5}} ,n_{C_{6}} are in AP. find the value of n ...

If A and B are two mutually DEPENDENT eventws wat deduction can v make?? nething apart frm P(A∩B)≠PA.PB ??? ...

These are copy pasted guys.I think u may found it useful . a)If A is an orthogonal matrix , then A-1 equals At (t - transpose) b)If A,B are 2 square matrices , such that A.B = A & B.A = B , then A & B both are indepen ...

hi friends can u prove pythagoras thm by pure geometry ? if u already know the method its fine else try to prove . its interesting really !!!! ...

sum 1 tel me...................... Sum of d factors of 10! which are odd and are of d form "3m+2", m belongs to N ...

Can someone tell me that... Is there any other congruency criteria for triangles other than SAS SSS AAS ASA RHS ?????? ...

Which mathematics book(s) are best for concept clearance for IIT-JEE which explains every topic from the zero level ? ...

Is zero (0) a positive no., negative or both? Why is the set of non-negative reals defined as [0,∞) and negative reals as (-∞, 0)? ...