(1) Basic Operations: Basic Operations, Polynomials, Factorization, Remainder Theorem & Factorization Theorem ; H.C.F. & L.C.M. of polynomials ; Rational Expressions, Surds & indices.

(2) Linear Equations : Simultaneous linear equation in two variables, analytical and graphical solutions. Simultaneous linear in equations. Practical problems on linear equations.

(3) Quadratic Equation : Solution of quadratic equations, Relation between roots and coefficients (only real roots to be considered). Practical problem on quadratic equations.

(4) Set Theory : Set language and set notation.
Union, Intersection & Complementations of sets and their properties.

Find the values of k ε R subject to the following condition :

The ratio of the rots of $x^2 + 3kx + 20 = 0$ is 4 : 5.

** Option :**

**A.**± 3

**B.**- 3

**C.**+ 3

**D.**- 1

**A**

If $x^2 - 6x + α = 0 has two roots α, β and 3α + 2β = 20, then find a.

** Option :**

**A.**- 16

**B.**8

**C.**4

**D.**- 2

**A**

If the roots of the equations $x^2 + 3kx + 2 = 0$ are in the ratio of 1 : 2, then find the value of k.

** Option :**

**A.**1

**B.**± 1

**C.**0

**D.**- 2

**B**

If the difference of the roots of the equation $x^2 - 2kx + 3k = 0$ is 4, then find the value of k.

** Option :**

**A.**- 1, 2

**B.**4, - 1

**C.**1, 3

**D.**- 4, 0

**B**

The quadratic equation whose roots are twice the roots of $2x^2 - 5x + 2 = 0$ is :

** Option :**

**A.**$8x^2 - 10x + 2 = 0$

**B.**$x^2 - 5x + 4 = 0$

**C.**$2x^2 - 5x + 2 = 0$

**D.**None

**B**