h^2+k^2. Where 3h-4k+45=0h^2+[(3h+45)/4]^2=>h^2+1/16*(9h^2+45^2+270h)upon diff.=>2h+9/8h+270/16=0=>h=-270/16*8/25=-27/5=>k=(-81/5+45)/4=36/5min=(-27/5)^2+(36/5)^2=81ps: i don't know cauchy-sauchy so wanted to try
...Bhai apart from CS theorem , there is 1 more method suggetd by @wovfactorAPS that the min value is the square the foot of the perpendicular from the origin to the given line ..
welll, for a method other than cauchy-schwartzthe min value is the square the foot of the perpendicular from the origin to the given line ..
@pankaj1988 said:
...Bhai apart from CS theorem , there is 1 more method suggetd by @wovfactorAPS that the min value is the square the foot of the perpendicular from the origin to the given line ..
like this
@wovfactorAPS iska bhi graphical approach bata dijiye
Two points A and B are selected on a straight line segment of length 10cm. What is the probability that length(AB)>4cm . 1)5/24 2)9/25 3)3/8 4)4/15
Given that w, x, y and z are natural numbers such that 4w = xyz, 4x = wyz and 4z = wxy. Which of the following is a possible value of (w + x + y 창€“ z)^2?
like this@wovfactorAPS iska bhi graphical approach bata dijiyeTwo points A and B are selected on a straight line segment of length 10cm. What is the probability that length(AB)>4cm .1)5/242)9/253)3/84)4/15
Bhai iska soln mere paas the...abhi chk kiya
Draw a square of coordinates (0,0) (10,0) (0,10) (10,10)
so the triangle having coordinates (0,4) (0,10) (6,10) and (10,0) (4,0) (10,6) will consists of region when AB>4 => area of triangles=36
Given that w, x, y and z are natural numbers such that 4w = xyz, 4x = wyz and 4z = wxy. Which of the following is a possible value of (w + x + y €“ z)^2?a25 b9 c36 d1@gs4890 ho gaya main shuru
Given that w, x, y and z are natural numbers such that 4w = xyz, 4x = wyz and 4z = wxy. Which of the following is a possible value of (w + x + y €“ z)^2?a25 b9 c36 d1@gs4890 ho gaya main shuru
Given that w, x, y and z are natural numbers such that 4w = xyz, 4x = wyz and 4z = wxy. Which of the following is a possible value of (w + x + y €“ z)^2?a25 b9 c36 d1@gs4890 ho gaya main shuru
Given that w, x, y and z are natural numbers such that 4w = xyz, 4x = wyz and 4z = wxy. Which of the following is a possible value of (w + x + y €“ z)^2?a25 b9 c36 d1@gs4890 ho gaya main shuru
soln -
we get w=x=z first and from that we get wy=4. then as w and y are not equal so w=4 and y =1. now (w+x+y - z)^2 = (w+y)^2 = 5^2 = 25
Given that w, x, y and z are natural numbers such that 4w = xyz, 4x = wyz and 4z = wxy. Which of the following is a possible value of (w + x + y €“ z)^2?a25 b9 c36 d1
36 ?
4w + 4x = yz(w + x) -> yz = 4 as (w+x) cannot be 0
Given that w, x, y and z are natural numbers such that 4w = xyz, 4x = wyz and 4z = wxy. Which of the following is a possible value of (w + x + y €“ z)^2?a25 b9 c36 d1@gs4890 ho gaya main shuru
P is a group of four numbers 1, 2, 3 and 1. In every step, 1 is added to any two numbers in group P. In how many such steps is it possible to make all the four numbers in group P equal?
P is a group of four numbers 1, 2, 3 and 1. In every step, 1 is added to any two numbers in group P. In how many such steps is it possible to make all the four numbers in group P equal?a3 b5 c7 dNot possible
The length, breadth and height of a cuboid are given by unique linear functions L(x), B(x) and H(x) respectively (Here, 'x' is a real number). The volume of this cuboid is given by the cubic function V(x) = – x^3 – 4x^2 + 31x + 70. Which of the following values of 'x' is permissible? (1) 7 (2) – 3 (3) – 8 (4) 6 (5) 4
soln -we get w=x=z first and from that we get wy=4.then as w and y are not equal so w=4 and y =1. now (w+x+y - z)^2 = (w+y)^2 = 5^2 = 25Ps- Attendence kaafi low hai
P is a group of four numbers 1, 2, 3 and 1. In every step, 1 is added to any two numbers in group P. In how many such steps is it possible to make all the four numbers in group P equal?a3 b5 c7 dNot possible
P is a group of four numbers 1, 2, 3 and 1. In every step, 1 is added to any two numbers in group P. In how many such steps is it possible to make all the four numbers in group P equal?a3 b5 c7 dNot possible
P is a group of four numbers 1, 2, 3 and 1. In every step, 1 is added to any two numbers in group P. In how many such steps is it possible to make all the four numbers in group P equal?a3 b5 c7 dNot possible
Sum of the numbers = 7
At each stage, 2 is added to the sum => sum is of the form 7 + 2k
Now, for all to be equal at some stage, sum should be of the form (4m)
So, 7 + 2k = 4m -> Not possible as RHS is even, and LHS is odd.
P is a group of four numbers 1, 2, 3 and 1. In every step, 1 is added to any two numbers in group P. In how many such steps is it possible to make all the four numbers in group P equal?a3 b5 c7 dNot possible
to make all the numbers equal to N(Say), we have to increase them by odd no (sum total) which is not divisible by 2.so option D
Given that w, x, y and z are natural numbers such that 4w = xyz, 4x = wyz and 4z = wxy. Which of the following is a possible value of (w + x + y €“ z)^2?a25 b9 c36 d1@gs4890 ho gaya main shuru
P is a group of four numbers 1, 2, 3 and 1. In every step, 1 is added to any two numbers in group P. In how many such steps is it possible to make all the four numbers in group P equal?a3 b5 c7 dNot possible
P is a group of four numbers 1, 2, 3 and 1. In every step, 1 is added to any two numbers in group P. In how many such steps is it possible to make all the four numbers in group P equal?a3 b5 c7 dNot possible
@krum said:
h^2+k^2. Where 3h-4k+45=0h^2+[(3h+45)/4]^2=>h^2+1/16*(9h^2+45^2+270h)upon diff.=>2h+9/8h+270/16=0=>h=-270/16*8/25=-27/5=>k=(-81/5+45)/4=36/5min=(-27/5)^2+(36/5)^2=81ps: i don't know cauchy-sauchy so wanted to try
...Bhai apart from CS theorem , there is 1 more method suggetd by @wovfactorAPS that the min value is the square the foot of the perpendicular from the origin to the given line ..
