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Recent questions tagged q10-b

One of the four persons John,Rita,Aslam or Gurpreet will be promoted next month.Consequently the sample space consists of four elementary outcomes S={John promoted,Rita promoted,Aslam promted,Gurpreet promoted}.You are told that the chances of John's promotion is same as that of Gurpreet,Rita's chances of promotion are twice as likely as John's,Aslam's chances are four times that of John.If A ={John promoted or Gurpreer promoted} find P(A)

asked Jul 7, 2014 by sreemathi.v

1 answer

If a,b,c are elements of Boolean Algebra,prove that $ab+c(a'+b')=ab+c$.

asked Apr 19, 2013 by sreemathi.v

0 answers

Find the least distance of the plane $12x+4y+3z=327$ from the sphere $x^2+y^2+z^2+4x-2y-6z=155.$

asked Apr 17, 2013 by sreemathi.v

0 answers

Show that the equation to a sphere passing through three points (2,0,0),(0,2,0) and (0,0,2) and having its centre on the plane $2x+3y+4z=27$ is $x^2+y^2+z^2-6x-6y-6z+8=0.$

asked Apr 17, 2013 by sreemathi.v

0 answers

Prove that the plane $x+2y-z=4$ cuts the sphere $x^2+y^2+z^2-x+z-2=0$ in a circle whose radius is unity.

asked Apr 16, 2013 by sreemathi.v

0 answers

If $A(-1,4,-3)$ is one end of a diameter $AB$ of the sphere $x^2+y^2+z^2-2y+2z-15=0$ then find the coordinates of the other end point B.

asked Apr 15, 2013 by sreemathi.v

0 answers

Find the equation of the sphere which passes through the circle $x^2+y^2-6z-4=0,x+2y+2z=0$ and whose centre lies on the plane $2x-y+z=1.$

asked Apr 12, 2013 by sreemathi.v

0 answers

In any $\Delta ABC$,prove by vector method that $\cos B=\large\frac{c^2+a^2-b^2}{2ca}$.

asked Apr 12, 2013 by sreemathi.v

0 answers

If D,E,F are mid-points of the sides of a triangle ABC,Prove by vector method that : Area of ADEF=$\frac{1}{4}$(Area of $\Delta$ABC).

asked Apr 11, 2013 by sreemathi.v

0 answers

In any triangle ABC,prove by vector method : $\large \frac{a}{sin\;A}=\frac{b}{sin\;B}=\frac{c}{sin\;C}$

asked Apr 10, 2013 by sreemathi.v

0 answers

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