* Standard: 10th ● Subject: Mathematics *
* Unit Test ● Chapter 2: Quadratic Equation*
Marks: 20 Time: 1 hour
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Q.1(A) Choose the correct option from the alternatives given below. 2
1) Comparing the equation p (3 + 6p) = -5 with a𝑥2 + bx + c = 0, find the value of c
A) 3 B) - 5 C) 5 D) −6
2) For the equations 2𝑥2– 4x – 3 = 0 the value of discriminant is ------
A) - 40 B) 40 C) - 8 D) 8
(B) Solve the following sub questions. 2
1) State with reason whether the equation 3𝑥2− 7x = 13x is a quadratic equation?
2) If the value of Δ is – 54 write the nature of the roots.
Q.2(A) Complete the following activity 2
(B) Attempt any two sub questions of the following . 4
1) Solve the following quadratic equations by factorization: 5𝑚2 + 9m – 2 = 0
2) The product of two consecutive odd natural numbers is 143 find those numbers.
3) Two roots of the quadratic equations are 0 and 7; frame the equation.
Q.3 Solve any two sub questions of the following. 6
1) Solve by Formula: 𝑦2 + 13 𝑦 = 2
2) Determine out of 0,2 and 3 which are the roots of the quadratic equation 3𝑝2– 6p = 0
3) The sides of a right-angled triangle are (x + 1), (x + 3) and length of its hypotenuse is
10 cm. find the area of triangle.
Q.4 Solve any One sub questions of the following. 4
1) Solve, 3𝑥2− 2√6 x + 2 = 0
2) Mukund possesses Rs. 50 more than what Sagar possesses. The product of the amount
they have is Rs.15,000. Find the amount each one has.
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