12th Standard Syllabus & Materials
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Published on: 01/09/2022
QB365 provides a detailed and simple solution for every Possible Creative Questions in Class 12 Maths Subject - Theory of Equations, English Medium. It will help Students to get more practice questions, Students can Practice these question papers in addition to score best marks.
Download Tamil Nadu 12th Standard Maths question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Maths Test1.
If p(x) = ax2 + bx + c and Q(x) = -ax2 + dx + c where ac ≠ 0 then p(x). Q(x) = 0 has at least _______ real roots.
no
1
2
infinite
2.
If ax2 + bx + c = 0, a, b, c \(\in\) R has no real zeros, and if a + b + c < 0, then __________
c>0
c<0
c=0
c≥0
3.
If x2 - hx - 21 = 0 and x2 - 3hx + 35 = 0 (h > 0) have a common root, then h = ___________
0
1
4
3
4.
If ∝, β, ૪ are the roots of 9x3-7x+6 = 0, then ∝ β ૪ is __________
\(\frac{-7}{9}\)
\(\frac{7}{9}\)
0
\(\frac{-2}{3}\)
5.
If ∝, β, ૪ are the roots of the equation x3-3x+11 = 0, then ∝+β+૪ is __________.
0
3
-11
-3
6.
If \((2+\sqrt{3})^{x^{2}-2 x+1}+(2-\sqrt{3})^{x^{2}-2 x-1}=\frac{2}{2-\sqrt{3}}\) then x = _________
0, 2
0, 1
0, 3
0, √3
7.
If the equation ax2+ bx+c = 0(a > 0) has two roots ∝ and β such that ∝ <- 2 and β > 2, then __________
b2-4ac = 0
b2 - 4ac <0
b2 - 4ac >0
b2 - 4ac ≥ 0
8.
9.
lf the root of the equation x3 + bx2+ cx - 1 = 0 form an lncreasing G.P, then ___________
one of the roots is 2
one of the roots is 1
one of the roots is -1
one of the roots is -2
10.
The equation \(\sqrt { x+1 } -\sqrt { x-1 } =\sqrt { 4x-1 } \) has ____________
no solution
one solution
two solution
more than one solution
11.
12.
If x is real and \(\frac { { x }^{ 2 }-x+1 }{ { x }^{ 2 }+x+1 } \) then ________
\(\frac{1}{3}\) ≤ k ≤
k ≥ 5
k ≤ 0
none
13.
If f(x) = 0 has n roots, then f'(x) = 0 has __________ roots
n
n -1
n+1
(n-r)
14.
The quadratic equation whose roots are ∝ and β is ___________
(x - ∝)(x -β) = 0
(x - ∝)(x + β) = 0
∝ + β = \(\frac{b}{a}\)
∝ β = \(\frac{-c}{a}\)
15.
If a, b, c ∈ Q and p +√q (p, q ∈ Q) is an irrational root of ax2+bx+c = 0 then the other root is ___________
-p+√q
p-iq
p-√q
-p-√q
1.
(c)
2
2.
(b)
c<0
3.
(c)
4
4.
(d)
\(\frac{-2}{3}\)
5.
(a)
0
6.
(a)
0, 2
7.
(c)
b2 - 4ac >0
8.
(a)
9.
(b)
one of the roots is 1
10.
(a)
no solution
11.
(a)
12.
(a)
\(\frac{1}{3}\) ≤ k ≤
13.
(b)
n -1
14.
(a)
(x - ∝)(x -β) = 0
15.
(c)
p-√q
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Tamilnadu Stateboard 12th Standard Subjects
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Biology
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Economics
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Accountancy
History
Computer Applications
Biology
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Computer Applications
Computer Science
Business Maths and Statistics
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