If x , y and z are the lengths of sides of a triangle and ,
k=(x^2+y^2+z^2)/(xy+yz+xz), which of the following best describes k
please tell how to solve this
1: If the sum of the squares of the sides of a triangle is denoted by S and the perimeter by P, which of the following is always true about (P^2)/S ?
a) it is less than 2
b) greater than equal to 3 nd less than equal to 4
c) greater than 2 nd less than equal to 3
d) greater than equal to 4
e) none of these
2:Consider the equation x^2 +y^2 +z^2 =1. Let (x1,y1,z1) and
(x2,y2,z2) be two sets of values of (x,y,z)satisfying the given equation
and let A =(X1-X2)^2 +(Y1-Y2)^2 +(Z1-Z2)^2.
WHAT is the maximum possible value that A can assume?
assume that all the quantities involved are real numbers
a)6 b)4 c) 3 d)2 e)1
please tell how to solve these two questions
There is a triangle ABC, RIGHT ANGLED AT B. D,E,F are points of contact of incircle of triangle with its sides AC, BC,AB respectively.IF BD is the altitude from B to AC , find ratio of length of BE and EC.
a) (2-2^.5) : 2^.5
b) 2: (2-2^.5)
c) 2^.5 : (2-2^.5)
d) 2 : (2+2^.5)
2^.5 =root 2
please tell me how to solve this
GK : 30
found paper bit lengthy...
In a competitive exam there are 75 questions, where 4 marks are awarded for every correct answer , 1 mark is deducted for every incorrect answer.NO marks were awarded/ deducted for any unattempted questions.
a) If 1000 students wrote the exam, what is the minimum possible number of students each of whose net score is same as that of atleast one of the others student.
e)none of these
please tell me how to solve this : is there any direct way to find maximum possible of distinct scores.
1) Three circles of equal radii overlap each other such that the centre of each circle lies on the circumference of the other two circles.Find the ratio of the area of the region common to all three circles and the region common to exactly two circles.
2)C1 AND C2 are two concentric circles with radii 5cm and 9cm respectively
.If A,B,C are points on C2 such that AB and AC are tangent TO C1, in how many points does BC intersect C1 ?
d: cannot be determined
I don't have the answers of these if anyone can tell me the answers and approach to solve.
CAN ANYONE TELL ME what is the limit for myopia in SBI ASSOCIATES FOR PO