12th Mathematics Preboard Exam Real Paper with Solution | +2 Preboard 2022 | GAURAV CROOKS #pseb

Determine the number of real solutions there are for 9x^2-12x+18=0

If the equation 2x^2+4x y+7y^2-12 x-2y+t=0, where t is a parameter has exactly one real solution of the form (x ,y) , then the sum of (x+y) is equal to ______.

The ubiquitous AM-GM inequality has many applications. It almost crops up in unlikely situations and the solutions using AM-GM are truly elegant . Recall that for n positive reals a_(i) I = 1,2 …, n, the AM-GM inequality tells (overset(n) underset(1)suma_i)/n ge ( overset(n)underset(1)proda_i)^((1)/(n)) The special in which the inequality turns into equality help solves many problems where at first we seem to have not informantion to arrive at the answer . If the equation x^(4) - 4x^(3) + ax^(2) + bx + 1 = 0 has four positive roots , then the value of (|a|+|b|)/(a+b) is

The ubiquitous AM-GM inequality has many applications. It almost crops up in unlikely situations and the solutions using AM-GM are truly elegant . Recall that for n positive reals a_(i) I = 1,2 …, n, the AM-GM inequality tells (overset(n) underset(1)suma_i)/n ge ( overset(n)underset(1)proda_i)^((1)/(n)) The special in which the inequality turns into equality help solves many problems where at first we seem to have not informantion to arrive at the answer . If a,b,c are positive integers satisfying (a)/(b+c)+(b)/(c+a) + (c)/(a+b) = (3)/(2) , then the value of abc + (1)/(abc)

The ubiquitous AM-GM inequality has many applications. It almost crops up in unlikely situations and the solutions using AM-GM are truly elegant . Recall that for n positive reals a_(i) I = 1,2 …, n, the AM-GM inequality tells (overset(n) underset(1)suma_i)/n ge ( overset(n)underset(1)proda_i)^((1)/(n)) The special in which the inequality turns into equality help solves many problems where at first we seem to have not informantion to arrive at the answer . The number of ordered pairs (x,y) pf real numbers satisfying the equation x^(8) + 6= 8 |xy|-y^(8) is

The number of real solutions of the equation 27^(1//x)+12^(1//x)=2.8^(1//x) , is

If the equation x^(2)+12+3sin(a+bx)+6x=0 has atleast one real solution, where a, b in [0,2pi] , then the value of a - 3b is (n in Z)