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If one root of x2 –(3+3i)x + (1+3i) is 1+i then the other root is

If n ≥ 2, then 3.C0 – 5.C1 + 7.C2 – ……+(-1)n(2n +3).Cn=

(3x+7)/(x2-3x+2)=

If 3x-2y+4=0 and 2x+5y+k=0 are conjugate lines w.r to the ellipse 9x2+16y2=144 then the value of k is

In a class 40% of students read History, 25% Civics and 15% both History and Civics. If a student is selected at random from that class, the probability that he reads history, if it is known that he reads Civics is

Five horses are in a race. Mr.A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is

If x,a,b,c are real and (x-a+b)2+(x-b+c)2=0 then a,b,c are in

The area of the triangle formed by the tangent and normal at (2,4) on the circle x2+y2=20 and X-axis (in sq.units) is

x2 +4ax+3 =0 and 2x2+3ax-9 =0 have a common root, then a =

The perpendicular distance of radical axis determined by the circles x2 + y2 + 2x + 4y – 7 =0 and x2 + y2 – 6x + 2y – 5 =0 from the origin is:

The polar equation of xcosα+ysinα=p is

If the roots of the equation ax2+bx+c=0 is of the form k+1/k and k+2/k+1(k≠0),then (a+b+c)2 is equal to

If the lines represented by 4x2 +12xy+ 9y2-6x-9y=1 are two tangents to a circle then its area is

The greatest negative integer satisfying x2+4x-774 is

The equation whose roots are 2+√3,2-√3,1+2i,1-2i is

The slope m of a tangent through the point (7,1) to the circle x2+y2=25 satisfies the equation

If the tangent at (1,-2) to the circle x2+y2=5 touches the circle x2+y2-8x+6y+20=0 at p.Then Py =

If α,β are the roots of 3x2+5x-7=0,then the value of (1/3α+5)2+(1/3β+5)2 is

If y=2ax and (dy/dx)=log256 at x=1,then a=

If sum of the roots of the equation 2x9-11x7+6x4+8=0 is ‘a’ then ‘a’=

The roots of √3x2 +10x-8√3=0

The equation to the conjugate hyperbola of xy+3x-4y+13=0 is

If 2,3 are roots of 2x3+mx2-13x+n=0 then the other root is

If a chord of length 2√2 subtends a right angle at the centre of the circle then its radius is

Order of (dy/dx)3+(dy/dx)2+y4=0 is

If y = sin-1 x-sin-1√1- x2 then d2y/dx2=

If X is a poission variable such that p(X=0)=0.1,p(X=2)=0.2 then the parameter λ is

If the roots of 2x3+kx2-x+1=0 are in H.P them k=

A lot consists of 12 good pencils, 6 with minor defects and 2 with major defects. A pencil is drawn at random. The probability that this pencil is not defective is

O is the origin and Ax(xk,yk) where k=1.2 are two points.If the circles are described on OA1 and OA2 as diameters,then the length of their common chord is equal to

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