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Hint:- Equation of line perpendicular to the line 5x-y=0 will be x+5y+(lembda) = 0. Now either you use determinent form of area of triangle or find the equation the coordinate points and them apply...

(1,2,4)(2,4,8)(1,3,9)(9,3,1)(4,2,1)(8,4,2) so 6 possible ways substitute the considered vales in a,b,c we get ans as -1,-2,-5,11,5,10. so 6 is the answer

As it has repeated real roots this means for y=ax 3 – 9x 2 +12x -5 dy/dx must be zero at that point . dy/dx =3ax 2 -18x+12=0 for dy/dx to have real root D>=0 => a

Since 1, a 1 , a 2 , ....... are the roots of z n -1=0 therefore z n -1 = (z-1)(z-a 1 )(z-a 2 )(z-a 3 ).......(z - a n-1 ) => (z n -1)/(z-1) = (z-a 1 )(z-a 2 )(z-a 3 )....(z - a n-1 ) => 1+z+z 2 +z 3 ...

For integral roots of ax^2+bx+c then determinant must be a perfect square.... Also if a=1 and b,c are integers then the roots are always integralsa

in algebric expression the value of the 3/4+3/28+3/70+3/130+......................................+3/9700 has the answer 0.923386201428

Yes, This chapter is really very important and have weight of about 5% in the paper, which is very good percentage. Thanks.

If A belongs to B,then the set A is an element in set B.if B is a subset of C then all elements of B are present in set C.so set A is an element in set C.therefore Set A belongs to set Cand it is not ...

allike-A diffrent-D alll A -1 7A 1D-8 6A 2D- 8C2=28 5A 3D -8C3= 56 4A 4D -8C4= 70 3A 5D-8C5=56 2A 6D-8C6=28 all D-9C8=9 TOTAL=1+8+28+56+70+56+28+9=265

The “expert’s “ answer is incorrect. Solution is given below: The sum of first n terms AP is of the form an 2 +bn for some constants a,b We are given ap 2 +bp = q aq 2 +bq = p Subtracting, and...

This is wrong advice to give. Golden rule in mathematics is to ‘learn from the masters’ i.e. read their textbooks. You can market the study packges (which by the way tends to be material filched from ...

the formula for the sum of squares are sn = n(n+1)/2 =n2/2 +n/2 in the place of n we can place any number them we will get sn value

yes ofcource u r gng in right way because in the most general form algebra is the study of mathematical symbols and the rules of manupalating the symbols so it is true

6^5 as each place has 6 options and there are 5 places

Dear student, This is not the correct site to post question in this type of language. Please do post if you have any good questions. Thanks

0}= \underbrace{\bf{-\left[\left(x-\frac{1}{4}\right)^2+\frac{11}{4}\right]}}_{

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