Recently Active Mathematics Questions

it is a very good concept reckoner:: three processes A,B,C are mutually independent, are they independent as a whole?? prove your answer.. ...

the length of the tangent drawn from any point on circle x+y+2gx+2fy+β =0 to circle x+y+2gx+2fy+μ=0 then (a) β-μ (b) xμ-β (c) xμ+β ( d)none ...

find min. value of ax2(sin x)2/(xsin x) x belongs (0,pie) ...

solve the differential equations Q 1... x(x-y) dy + y2 dx= 0 Q2 ... (x dx + y dy)/(x dy - y dx)= √(a2-x2-y2)/(x2+y2) ...

|x|+|y|=1 when x and y are mutually perpendicular lines or axes explain ...

LETA,B,C ε R SUCH THAT 4A+2B+C=0 AND AB>0 THEN EQUATION AX2+BX+C=0 HAS WHICH ROOTS REAL,COMPLEX ...

solve the differential equation x dx + y dy + (x2+y2) dy = 0 ...

THE ROOTS OF THE EQN |X2-X-6|=X+2 ARE ...

f(x)= ax + cosx is bijective then a belongs to? a) R+ b) R c) R- d) R-(-1,1) ...

lim x->∞ {11/sin2x + 21/sin2x + .... + n1/sin2x} sin2x ?????? ...

f(x)= [sinx + cosx] [.]=box function... how many points of discontinuities when x belongs to (0, 2 pi) .. ?? me getting 5... nyone verify.... ...

I= 0∫3 ([x] +[x+1/3] +[x+2/3]) dx ...

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the no. of normals that can be drawn to curve 4x2+9y2=36 from an external point in general is ans-4 explain ...

the no. of diastinct normal line3s from exterior point (0,c) c>b, to ellipse x2/a2+y2/b2=1 1s ...

I am having problems with angle bisetors in 2-D and 3-D. How do find the angle bisector for say 2x+3y=5 and 5x+6y=11 ? ...

the no. of values of θ ε[0,2π] for which the line 2xcosθ+3ysinθ=6 touches the ellipse 4x2+9y2 =36 is (a)4 (b)2 (c)1 (d)∞ ...

how to know abt no. of normals to conic ...

in the previous question i asked that of hyperbola why t12 is taken as m explain ...

the normal to the rectangular hyperbola xy=c^2 at the point t1 meets the curve again at t2. value of ti^3.t2 is ...

the equation of the normal to ellipse x^2+4y^2=16 at the end of the latus rec tumin the first quadrant is (a) 2x+√3(y+3)=0 (b)2x=√3(y+3) (C) √3x=2(y+3) (d)none ...

a function f:R→R f(x)=(px2 +6x-8)/(p+6x-8x2) Find the integral values of p for which the given function is onto . ...

Assertion: If the probability of an event A is 0.4 and that of B is 0.3,then the probability of neither A nor B occuring depends upon the fact that A and B ,are mutually exclusive or not Reason: Two events are mutually exclus ...

Find the number of solutions of sin2x=cos3x in o to 2pi ...

I read this question somewhere and thought it was a good one......posting here to test eveyone's intelligence *Image* *Image* ...

Prove that there exist two infinite sequences (an)n≥1 and (bn)n≥1 of positive integers such that the following conditions hold simultaneously: (i) 1 < a1 < a2 < a3 .... (ii) an<bn<a2n, for all n ≥1 ( ...

WHAT IS MAX NO 4 LETTER WORD USING THE LETTERS OF THE WORD "mediterranean" SUCH THAT IT STARTS WITH 'e' AND END WITH 'r' ...

for what value of 'k' does the function y=x3 - 3(7 - k)x2 -3(9-k2)x + 2 , x>0 have a point of maximum ...

there are 4 circles & 4straight lines . what is the max no.of points of intersection? give me a solution ...

find minimum and maximum value of x^2+y^2 if (x-3)^2+(y-4)^2=10^2 ...