Recently Active Mathematics Questions

a wire of lenght 20m is bent so as to form a circular sector of maximum area. find the radius of the circular sector and the maximum area ...

What are the rules for unique, infinte solutins in matrices and determinants ...

It is given that : If 'n' things are arranged in a row, no. of ways in which they can be deranged so that none of them occupies their original place is n!\left\{1-\frac{1}{1!}+\frac{1}{2!}-\frac{1}{3!}+...+\frac{(-1)^{n}}{n!} ...

find no of inegral solutions of [x][y] = x + y ................ and find the lines on which the non integral soln lie ............. ...

f(x) = log7 log 5 log3 log2 (2x3 + 5x2 - 14x) ...

EK AUR!!! *Image* TRY Q C) I DONT HAV DA ANS............. *Image* ...

SHOW THAT IF n≥6 is composite, then n divides (n-1)! . ...

how to solve a 4 by 4 determinant? co-factrs methd ??? ne better methd ...

First term = 1 ,common diff = 4,which of the following represents the general term of the AP A) k^2(k+1)^2 + 3 B) k^2(k-1)^2 - 3 C) k^2(k+1)^2 + 2 D) k^2(k-1)^2 + 5 ...

1. If integers m and n are chosen at random between 1 and 100, then the probability that a number of the form 7m+7n is divisible by 5 is, a.1/4 b.1/7 c.1/8 d.1/49 2. A six faced fair dice is thrown until 1 comes, then probabi ...

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find the max n min no of points, having rational coordinates, which can exist on the circle with centre (0, sqrroot2)? ...

Q] If A,B,C ,D are 4 points in space satisfying AB.CD=k[/AD/2+/BC/2 - /AC/2-/BD/2] {all in vectors} then the value of "k" is a] 2 b] 1/3 c]1/2 d]1 ...

From a point P, perpendicular PM and PN are drawn to two straight lines OM and ON. If the area OMPN, be constant, then prove that the locus of point P is a hyperbola. ...

In an ellipse, the tangent at P meets in T and t, and CY is the pependicular on it from the centre; prove thet 1) Tt.PY = a2 - b2 and 2) the least value of Tt is a+b. ...

if the centres of n circles are collinear then their radical axes taken two at a time are parallel isn't this statement true..? in the solution its given false.. can someone confirm or give a counter example ...

Here are some good complex matrix question..........i have 2 more........ *Image* i have alrady solved them.......but plzzzz try them.....maybe u may have shorter approach ...

if normals are drawn from a ppiont P(h,k)to the parabola y2=4ax.then the sum of intercepts which the normal cut off from the axis of parabola is a)h+a b)2(h+a) c)3(h+a) d)none ...

theline 4x+3y-4=0 divides the the circumfrence of the circle centered at (5,3)in the ratio of 1:2,the raius of the circle is__________ ...

how many different dice can be produced with 1-6 written on the six blank faces .. such that no 2 dice are similar .. no number is repeated in a die ! ...

∫(x2/(xsinx+cosx)2)dx pls give some hints..... ...

Find all positive integers, representable uniquely as \frac{x^{2}+y}{xy+1} where x and y are positive integers. ...

Suppose that p is a prime number and is greater than 3 . Prove that 7^{p}-6^{p}-1 is divisible by 43. ...

The integers a and b have the property that for every nonnegative integer n, the number 2^{n}a+b is the square of an integer. Show that a=0. ...

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this is a new thread in which all types of maths sums can be posted, rules: 1) only 1 question at a time 2) no one start a new question unless the previous one is fully solved by someone and understood by everyone 3) every qu ...

*Image* wer p=natural no≥2 ,a>0 r>0n b≠0 q1 if l eists a)b>1 b)0<b<1 c)b<0 d)b=1 q2if p=3 n l=1 then a= ...

ONE MORE QUESTION APPENDED!!!! *Image* ...

I am making a calculation mistake in this one.....[2][2] Eqn1: cot^{-1}(\frac{y}{\sqrt{1-x^{2}-y^{2}}})=2tan^{-1}\sqrt{\frac{3-4x^{2}}{4x^{2}}}-tan^{-1}\sqrt{\frac{3-4x^{2}}{x^{2}}} Eqn2: sin^{-1}\frac{ax}{c}+sin^{-1}\frac{bx ...

A rod is divided in 3 parts randomly. The probability that they can form a triangle. It was a subjective(write the answer) and my tukka was correct without the options :P but anyone please with the method. ...