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Class 10 Math Unit 2 Chapter Wise Class Test 3 New Syllabus 2027 | PDF free download
Class 10 Math Chapter 2 Class Test 3 is based on Quadratic Equations and Inequalities and is part of the 786Times Chapter Wise Test Series. This Class 10 Mathematics Chapter 2 Test includes important quadratic equations, inequalities, roots of quadratic equations, discriminant, standard form, and related mathematical concepts. Students can use this Class 10 Math Test for chapter-wise preparation, revision, practice, and Class 10 board exam preparation. The test contains both objective MCQs and subjective questions to help students prepare effectively for their Mathematics examination.
Unit 02
Mathematics
Total Time: 35 min
Total Marks: 25
Chapter Wise Class Test
(Test # 3)
1
A
B
C
D
2
A
B
C
D
3
A
B
C
D
4
A
B
C
D
5
A
B
C
D
6
A
B
C
D
7
A
B
C
D
8
A
B
C
D
NOTE: Four possible answers A, B, C and D to each question are given.
The choice which you think is correct, fill that circle in front of that question with
Marker or Pen ink. Cutting or filling two or more circles will result in zero mark
in that question.
TIME: 10 Min
OBJECTIVE
MARKS: 8
Q.1:
1.
Sum of the roots of
3x2 + 5x − 12 = 0 is:
2.
What are the roots of (x − 3)(x + 3) = 0?
3.
If b2 − 4ac = 0, then the roots of
ax2 + bx + c = 0 are:
4.
Subject “c” of
x − 2c = b is:
5.
When b2 − 4ac = 0, the roots are:
6.
The discriminant of
4x2 + 4x + 1 = 0 is:
7.
The corresponding equation to the inequality:
3x2 − 5x + 7 ≤ 0 is:
8.
If I = PRT, then T is:
TIME: 25 Min
SUBJECTIVE
MARKS: 17
(PART – I)
Q.2.
Write short answers to following questions.
(6 × 2 = 12)
(i)
Form a quadratic equation whose roots are;
6, 3/2.
(ii)
If the equation
x2 + 2(1+k)x + k2 = 0
has equal roots, then find the value of k.
(iii)
Write the quadratic equation
5(2x + 3) = −9x2
in standard form.
(iv)
Solve
x2 − 4x − 5 = 0
by completing square method.
(v)
Write the formula for the product of the roots of a quadratic equation.
(vi)
Form the equation whose roots are
5 + √7 and 5 − √7.
(PART – II)
Note: Attempt the following question.
Q.3.
A ball is thrown upward with an initial velocity of
40ms−1.
Calculate the maximum height it reaches above ground level.
(5)
