DATE: 05-08-24
FUTURE ACADEMY
10 (English)
(Classes Test ) TIME: 1 hrs
Maths - I-(Chapter -1 and 2)
MARKS: 20
SEAT NO:
Note:-
Q.1 Choose the carrect alternatives. (3)
1) Find the discriminant of the quadratic equation 2x2 – 4x + 3 = 0.
a. 4 b. – 4 c. – 8 d. 6
2) If the angles of a triangle are ______, then each of the perpendicular sides is 1 √2 times the
hypotenuse.
(a) 30°– 60°– 90° (b) right angle
(c) 45°– 45°– 90° (d) of any measure
3) The solution of equations ax + by = a – b; bx – ay = a + b is
(a) x = 1, x = 2 (b) x = 2, y = – 1
(c) x = – 2, y = – 2 (d) x = 1, y = – 1
Q.2 Solve the following question. (Any Two) (4)
1) Solve : x + y = 4; x - y = 2.
2) Roots of a quadratic equation are 5 and – 4 then form the quadratic equation.
3) If 52x + 65y = 183 and 65x + 52y = 168 then find x + y = ?
Q.3 Solve the following question. (Any Two) (6)
1) Solve the following quadratic equations by completing the square method.
x2 + 2x - 5 = 0
2) Determine the nature of roots of the following quadratic from their discriminant.
2
√3x + √2x − 2√3 = 0
3) Solve the following equations by Cramer's method.
6x − 3y = − 10 ; 3x + 5y − 8 = 0
Q.4 Solve the following question. (Any One) (4)
1) For doing some work, Pintu takes 6 days more than Nishu. If both work together, they
complete the work in 4 days. Find number of days required by each of them to do work
alone.
2) Solve the following simultaneous equations.
x
+ 2
3y
= 1
6
; 3
x
+ 2
y
=0
Q.5 Solve the following question. (Any One) (3)
1)
2) The denominator of a fraction is 4 more than twice its numerator. Denominator becomes 12
times the numerator, if both the numerator and the denominator are reduced by 6. Find the
fraction.
