Eamcet - Maths - Matrices Test

Test Instructions :

1. The Test is 1hr duration.
2. The Test Paper consists of 30 questions. The maximum marks are 30.
3. All the questions are multiple choice question type with three options for each question.
4. Out of the three options given for each question, only one option is the correct answer.
5. Each question is allotted 1 mark for each correct response.
6. 0.25 will be deducted for incorrect response of each question.
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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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