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1.If A and B are square matrices of the same order and A is non singular then for a positive integer n, (A^-^1 BA)^n is equal to (A) A^-^1 B^nA (B) n(A^-^1 BA) (C) A^-^n B^nA^n (D) None of these 2.Prove that adj(A^-^1)= adj(a ...

For a > 0, prove that the circle x2 + y2 =1 and the parabola y=ax2 - b intersect at four distinct points, provided a>b>1. This is the solution given in my book. Since a>0, by figure -b<-1 i.e. b>1 also when ...

Find the equation of the circle described on a focal chord with slope m, of the parabola y2=4ax as diameter. There are two approaches to this problem. 1) The end points of the focal chord are (a/m2,2a/m) and (am2,-2am) So the ...

Coming back after a long time..... The question: Prove that a point can be found which is equidistant from each of the following four points: A (a m1, a/m1), B (a m2, a/m2), C (a m3, a/m3), and D (a/m1m2m3, a m1m2m3) ...

1) Let R be a relation on N defined by x + 2y = 8. The domain of R is (a) {2,4,8} (b) {2,4,6,8) (c){2,4,6} (d) {1,2,3,4) . Give the reason to your answer. 2)The relation 'R' in NxN such that (a,b) R(c,d) <==> a+d=b+c. H ...

What is the Diff between eccentric angle and parametric points of an ELLIPSE? DO NOT TELL THE DEFINITION but tell me if they can be used interchangeably as I have seen in some ques............. ...

the ionization energy of barium is less thn tht of radium....this is different whn we compare the general trend in the group? does any one noe the reason??? ...

A particle of mass 2gm is resting at the origin.A constant force at t=0 produces an acceleration of 2m/s2 .The line of motion of the particle makes an angle of 300with the x-axis.The work done by the force in the time interva ...

well first of all a short introduction to this man.... Ravish Bhaiya is the new physics teacher in Edudigm....in my life i have never seen a person with such a great command over the subject as him... one question he gave to ...

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1)Modulus Function if a, b are positive real numbers,then x2 ≥ a22 <=> lxl ≥ a <=> x ≤ (-a) or x ≥ a. HOW x ≤ (-a) ? 2) Greatest Integer Function [x] > k => x ≥ k + 1, where k is an integer. Plea ...

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if sinx+cosx+tanx+cotx+secx+cosecx =7 find x ...

Compute the heat of formation of liquid methyl alchohol in kilo joule per mole using the following data. Heat of vaporisation of liquid methyl alcohol=38 kJ/mol. Heat of formation of gaseous atoms from the elements in their s ...

plz factorise tis one for me 2m'2 - mm' - m2 okay i know the ans...bt plz do d steps fr me.. thanks in advance!!! [1] ...

Two men A and B of masses M and M+m respectively start simultaneously from the ground and climb with uniform acceleration up the free ends of massless inextensible rope which passes over a smooth pulley at a height h from the ...

As the position of an object reflected in a concave spherical mirror of 0.25 m focal length is varied the position of the image varies. Plot the image distance as a function of object distance letting the latter change from 0 ...

in the electronic structure of sulfhuric acid , the total number of unshared electrons is ....... also explain it ...

Prove that for n ≥ 6, the equation 1/x12 + 1/x22 + 1/x32 + .... + 1/x2n = 1 has integral solutions. ...

A mirror is moving along the positive x axis at 10m/s Aditi is moving along the +ve Y axis at 10m/x. What is the speed of her image? ...

why do we say that ax2+bx+c >0 when a>o and D<0 and ax2+bx+c <0 when a<0 and D<0 ...

The following compounds are: *Image* ...

Arrange by energy levels ...

1.If z is a unimodular complex number, prove that arg(z2 + conjugate of z) = 1/2 arg(z) 2.If \left|z \right| = 1 and z is a non real then prove that z can be expressed in the form of c + \iota /c - \iota where c is real .Also ...

Sum to 'n' terms 1/(1 - x)(1 - x3) + x2/(1 - x3)(1 - x5) + x4/(1 - x5)(1 - x7) + .......... also find Sum if 'n' = ∞ , given that |x|<1 ...

A ball swings in a vertical circle at the end of a rope 1.5 m long. when the ball is 36.9° past the lowest point on its way up, its total acceleration is =( -22.5 i + 20.2 j).at that instant find the magnitude of radial acce ...

find all positive integer value of n and r that satisfy the equation C(n , r) = 2010.. (hsbhatt sir how can i solve these tupe of question). ...

looks like i am a genius in finding errors two silts are sep by 0.32mm .A beam of 500nm strinkes the solts producing an interference pattern . Determine the interference pattern between angular range -30egreees<0<30degr ...