Recently Active Mathematics Questions

ses x - cos x = K1 cosec x- sin x = k2 the eliminant of x between the equation is a) ( K22*K1)2/3 + (K2*K12)2/3 =1 b) K22 + K12/K22 = 2 c) K12/3*K22/3(k12/3 + K22/3) = 1 d) K1*K22 + k2*K12 = 2 ...

All the roots of the eqn a_1z^3+a_2z^2+a_3z+a_4=3 where |ai|<1 {i=1,2,3,4} lie outside the circle with centre at origin and radius equal to a) 1 b) 1/3 c) 2/3 d) N.O.T. ...

P is a point inside or on boundary of ΔABC having perimeter p and area Δ . R is a point in the plane of ΔABC such that PR ≤5 .The area of region in which point R lies is ?? ...

The circles on focal radii of a parabola as diameter touch A The tangent at the vertex B The axis C The directrix D None of above ...

IF THERE IS A QUADRATIC EQUATION WITH COMPLEX COEFFICIENTS THAN IS THERE ANY METHOD FOR REPRESENTING SUCH A EQUATION ON ARGAND PLANE?????? LIKE WE CAN REPRESENT UADRATIC WITH REAL COEFFECIENTS AS PARABOLA ON REAL PLANE....... ...

Q21 Three different numbers are selected at random from the set A = {1, 2, 3,...,15}. The probability that the product of two is equal to the third one is A>1/65 B>7/65 C>1/13 D>5/13 ...

8 players compete in a tournament, everyone plays everyone else just once. The winner of a game gets 1, the looser get 0 or each gets if the game is drawn. The final result is that everyone gets a different score and the play ...

If f(x) is continuous function and attains only rational values. If f(0) = 5, then roots of the equation (f(0))x2 + f((5))x + f(3) = 0, are 1. Real and equal 2.Real and unequal 3. Non-real complex cubic roots of unity 4. Irra ...

Co-ords. of centre of circle which bisects the circumferences of the circles : x2+y2 = 1 ; x2+y2+2x-3=0; x2+y2+2y-3 = 0 is : A) (-1,-1) B) (3,3) C) (-2,-2) D) (2,2) Ans : (-2,-2) ...

Prove that for any triangle inscribed in a rectangular hyperbola its orthocenter also lies on that same rect hyperbola ...

Let PQ specified by the equation x + y = 3 3 be a chord to the circle x2+y2=27. If the point R moves on the circle, then the locus of centriod of triangle PQR is a circle, the square of whose radius is - ...

From a pt perpendicular tangents are drawn to the ellipse x2+2y2=2.The chord of contact touches a circle which is concentric with the given ellipse.Find the ratio pf maximum and minimum area of circle?? ...

Q1. If the curves y=f(x) and y=g(x) intersect each other orthogonally at some point P, then at P (a) f and g may be increasing (b) f and g may be decreasing (c) f and g may have opposite monotonity (d) NOT Q2. A/R Statement 1 ...

* GOT THE ANSWR ** ...

limx→π/2 (sinx - sinxsinx)/(1-sinx+lnsinx) ...

If the line y- 3 x+3=0 cuts the parabola y2=x+2 at A and B,then PA.PB is equal to (P≠( 3 ,0) Solution as in book (y-0)/( 3 /2)=(x- 3 )/(1/2)=r On solving with y2=x+2 3r2/4 = r/2 + 3 +2 PA.PB=|r1r2| = (4( 3 +2))/3 ...

If y1,y2 are the ordinates of the two points P and Q on the parabola and y3 is the ordinate of the point of intersection of tangents at P and Q,then y1,y2,y3 are in AP.Prove ...

Q1) The function f : R → R defined by f(x)=x3+x2 is (a) one to one (b) onto (c) one to one and onto (d) neither one to one nor onto Q2) The function f(x)= x2/|x| if x is not = 0 = 0 if x=0 (a) is not continuous at x = 0 (b) ...

*Image* ...

There is a cone with height h & radius r. An insect at the bottom edge of the con needs to complete the journey around the axis of the cone. Find the shortest distance the insect has to cover. *Image* this is the simplest pro ...

Find the length of internal angle bisector CF. A) 2ab/a+b cos (C/2) B) a+b/2ab cos (C/2) C) sin (C/2) D) none of these. Plzz post the solution too.. ...

find the angles and the side lengths of the pedal triangle of triangle ABC ....a ,b ,c as usual side lengths of triangle ABC with angle A B and C **EDITED** LEAVE IT I GOT IT ...

x = 2z2/1+z2 y = 2x2/1+x2 z = 2y2/1+y2 Find no. of real solutions to this sysytem of equations ...

1) Let a,b,c,d be 4 integers such that ad is odd, & bc is even. Then, ax3+ bx2+ cx +d=0 has- A) At least 1 Irrational root. B) All 3 Irrational roots. C) All 3 Integral roots. D) None of these. 2) Let f(x)= ax2 +bx +c, a,b,c ...

In a triangle ABC, cos2A+cos2B+cos2C=1. Then the triangle is a)right angled b) obtuse angled c)acute angled d)equilateral ...

*Image* correct ans b Post the solution..... ...

le the rth term tr of a series is given by t_{r}=\frac{r}{1+r^{2}+r^{4}} then find the value of \lim_{n\rightarrow \infty }\sum_{r=1}^{n}{t}_{r} ...

. Let n be a positive integer and let a1, . . . , ak (k ≥ 2) be distinct integers in the set{1, . . . , n} such that n divides ai(ai+1−1) for i = 1, . . . , k−1. Prove that n does not divide ak( a1−1 ). ...

1..FIND THE MIN. VALUE of A+3C/A+2+C + 4B/A+B+2C - 8C/A+B+3C (A,B,C.ε R+) 2..IF A={zεC:Z=X+Xi-1 FOR X ε R } AND MOD(Z)≤MOD(ω) FOR ω ε A THEN Z IS ...

find all the roots of the x4+2x3+5x2+2x+1=0 ...