1. Find the quadratic product of each of the following
a) (x + 4)( x + 5) =
b) (x – 4)(x – 5 ) =
c) (x – 4 )(x + 5) =
d) (x + 4)( x – 5) =
e) (x + 4)(x – 4) =
2. Factorize the following
a) x2 – 4x – 12 =
b) x2 + 4x – 12 =
c) x² − 25 = (2, 2, 1 mark)
3. Find the equation of the line joining the points (1, 7) and (-3, 8)
( 5 marks)
4. Find the equation of the line passing through the point (2, 4) and
perpendicular to the line 8y = 7 – 2x
1
(a)
So,
Answer is:
(b)
So,
Answer is:
(c)
So,
Answer is:
(d)
So,
Answer is:
(e)
So,
Answer is:
2.
(a)
So,
Answer is:
(b)
So,
Answer is:
(c)
So,
Answer is:
3.
Equation of line joining (1,7) and (-3,8) is given by:
i.e.
- 4 (y - 7) = x - 1
i.e.,
x + 4y = 1 + 28
So,
Answer is:
x + 4y = 29
4.
Equation of the given line is written as:
So,
Slope of the given line is:
So,
Slope of the required line is:
The required line passes through (2,4).
So,
Equation of the required line is:
y - 4 = 4 (x - 2)
i.e.,
y - 4 = 4x - 8
i.e.,
4x - y = 4
So,
Answer is:
4x - y = 4
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