Question

value of p.
6) If x=2 is one rot of 3x2 - 2kx + m = 0 and m = 3, then find k.
7) In AABC, DE || BC, BD = x - 3. AB = 2x, CE = x - 2 and AC = 2 x + 3. Find x.
8) Find the ratio in which (4.5) divides the line joining (2, 3) and (7.8).
III. Answer the following:
2x4-
9) Find the value of 'a' and 'b' for which the following system of equations has infinitely many soluti
(2 a -1)x - 3y = 5 and 3x + (b - 2)y = 3
10) Find the roots of the quadratic equation v3x2 - 2V2x - 2y3 = 0
11) Find the value of 'p' if the points A (3p + 1. p), B (p+2, p - 5) and C (p+1. -p) are collinear.
12) In figure, AB || DE and BD | EF Prove that DCCFXAC.
F
D
E
А
B
IV. Answer the following questions:
3x4-
13) Find the value of the middle term of the following AP: -6, -2, 2, ........,58
14) The sum of the digits of a two digits number is 15. The number is decreased by 27. if the digits are
reversed. Find umber.
1) If the equation (1 + m²) nºx? + 2mncx + (c? - a?) = 0 has equal roots, then prove that
2 = a (1 + m2)
16) In A ABC, D and E are the midpoints o. ide BC and AC respectively and A (4.-2).
By2.-2) and C (-6, -1). Proy at DE=AB.
the following questions​

Answer 1

Answer:

6) we know that x=2, m=3

3x^2-2kx+m=0

12-4k+3=0

15=4k

k=3.75

7) from bpt ratio is equal

so we know that

AB/DB=AC/EC

3x-3/x-3=2x+3/x-2

3x^2-9x+6=2x^2-3x-9

x^2-6x+15