Question

Q. 18.
Q. 19
questions are compulsory. In case of internal choices, attempt any one.
Q. 6. Find the roots of 3x2 - 5x + 2 = 0 by the method of completing the square
3
Q. 7. If x = 1 and x =
are roots of the quadratic equation ar? - 5x + b = , find the value of a
and b.
2
Q. 8. Find the roots of 412 x2 - 7x - 2 = 0 by the method of factorisation
Q. 20
Or
A natural number, when increased by 10, equals 200 times its reciprocal. Find the number
Q. 9. If the roots of the quadratic equation (a - b)x2 + (6 - c)x + (c - a) = 0 are equal, prove that
2a = b + c
Q. 10. The sum of two natural numbers is 27 and the sum of their reciprocals is
3
Find the numbers
20
Or
A man on tour has 4800 for his expenses. If he extends his tour for 3 days, he has to cut down
his daily expenses by * 80. Find the original duration of the tour.
1
Q. 11. The difference of two natural number is 2 and the difference of their reciprocal is Find the
24
numbers.
Q. 12. The diagonal of a rectangular field is 16 m more than the shorter side. If the longer side is 14 m
more than the shorter side, then find the length of the sides of the field.
Q. 13. If the quadratic equation (c2 - ab)x2 -2 (a? - bc)x + b2 - ac = 0 in x, has equal roots, then
show that either a = 0 or a3 + b3 + c3 = 3abc.
Or
Solve for x :
1
11
1 1 1
+ +
a b x
a + b + x
where a + b + x +0, a, b, x70​

Answer 1

Answer:

Step-by-step explanation:

. 6. Find the roots of 3x2 - 5x + 2 = 0 by the method of completing the square

3

Q. 7. If x = 1 and x =

are roots of the quadratic equation ar? - 5x + b = , find the value of a

and b.

2

Q. 8. Find the roots of 412 x2 - 7x - 2 = 0 by the method of factorisation

Q. 20

Or

A natural number, when increased by 10, equals 200 times its reciprocal. Find the number

Q. 9. If the roots of the quadratic equation (a - b)x2 + (6 - c)x + (c - a) = 0 are equal, prove that

2a = b + c

Q. 10. The sum of two natural numbers is 27 and the sum of their