ss 1 maths 2nd term

Solve the quadratic equation x^2−5x+6=0.

theory

• (a) Solve the quadratic equation x2−7x+10=0x^2 - 7x + 10 = 0x2−7x+10=0 using the factorization method.
  (b) Solve the quadratic equation x2−5x−6=0x^2 - 5x - 6 = 0x2−5x−6=0 using the quadratic formula.

• (a) Draw the Venn diagram for two overlapping sets AAA and BBB and shade A∪BA \cup BA∪B.
  (b) If A={1,2,3,4,5}A = \{1, 2, 3, 4, 5\}A={1,2,3,4,5} and B={4,5,6,7,8}B = \{4, 5, 6, 7, 8\}B={4,5,6,7,8}, find A∩BA \cap BA∩B and A∪BA \cup BA∪B.

• (a) Construct a 60° angle using a compass and ruler.
  (b) Construct the perpendicular bisector of a given line segment of length 8 cm.

• (a) Find the volume of a cylinder with radius 7 cm and height 10 cm.
  (b) A sphere has a radius of 5 cm. Find its total surface area.

• (a) Explain the concept of locus and give two examples.
  (b) Draw the locus of points that are equidistant from two given points.

• x=2,3

• x=−2,−3

• x=1,6

• x=2,−3

If x=3 is a root of x^2+bx+9=0, find b.

• -6

• 6

• -3

• 3

The quadratic equation x^2−4x−5=0 has roots:

• x=−1,5

• x=1,−5

• x=2,−2

• x=−5,1

The graph of a quadratic function is always:

• A straight line

• A parabola

• A circle

• A hyperbola

What is the universal set in set theory?

• The set that contains no elements

• The set that contains all possible elements

• A subset of a given set

• The intersection of two sets

If A={2,4,6} and B={4,6,8}, what is A∩B?

• {2,4,6,8}

• {4,6}

• {2,6}

• {8}

If the universal set U={1,2,3,4,5,6,7,8,9} and A={2,4,6,8}, what is the complement of A?

• {1,3,5,7,9}

• {2,4,6,8}

• {1,2,3,4,5,6,7,8,9}

• {3,5,7,9}

The intersection of two sets A and B is:

• The set of all elements in both A and B

• The set of elements only in A

• The set of elements only in B

• The set of all elements in A and B

Which logical operator is used to represent 'AND' in a truth table?

• ∨

• ∧

• ⇒

• ¬

The truth table for the statement P∨Q (P OR Q) is false only when:

• Both P and Q are false

• Both P and Q are true

• P is true, Q is false

• P is false, Q is true