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Published on: 26/08/2019
Theory of Equations
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.
The equation \(\sqrt { x+1 } -\sqrt { x-1 } =\sqrt { 4x-1 } \) has ____________
no solution
one solution
two solution
more than one solution
2.
3.
If x is real and \(\frac { { x }^{ 2 }-x+1 }{ { x }^{ 2 }+x+1 } \) then ________
\(\frac{1}{3}\) ≤ k ≤
k ≥ 5
k ≤ 0
none
4.
If f(x) = 0 has n roots, then f'(x) = 0 has __________ roots
n
n -1
n+1
(n-r)
5.
The quadratic equation whose roots are ∝ and β is ___________
(x - ∝)(x -β) = 0
(x - ∝)(x + β) = 0
∝ + β = \(\frac{b}{a}\)
∝ β = \(\frac{-c}{a}\)
6.
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
7.
8.
9.
The polynomial x3 - kx2 + 9x has three real zeros if and only if, k satisfies
|k| ≤ 6
k = 0
|k| > 6
|k| ≥ 6
10.
If α, β and γ are the zeros of x3 + px2 + qx + r, then \(\Sigma \frac { 1 }{ \alpha } \) is
\(-\frac { q }{ r } \)
\(-\frac { p }{ r } \)
\(\frac { q }{ r } \)
\(-\frac { q }{ p } \)
11.
x9-5x8 -14x7= 0
12.
9x9+2x5-x4-7x2+2 = 0
13.
2x7-3x6-4x5+5x4+6x3-7x+8 = 0
14.
p(x) = xn.p\(\left( \frac { 1 }{ x } \right) \)
15.
6x6 - 35x5 + 56x4 -56x2 + 35x - 6 = 0
1.
(a)
no solution
2.
(a)
3.
(a)
\(\frac{1}{3}\) ≤ k ≤
4.
(b)
n -1
5.
(a)
(x - ∝)(x -β) = 0
6.
(c)
p-√q
7.
(a)
8.
(d)
9.
(d)
|k| ≥ 6
10.
(a)
\(-\frac { q }{ r } \)
11.
4 Change of sign
12.
at least 6 imaginary roots
13.
4 Change of sign
14.
Reciprocal equation of type I
15.
even degree reciprocal equation of type II
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Tamilnadu Stateboard 12th Standard Subjects
Maths
Chemistry
Physics
Biology
Computer Science
Business Maths and Statistics
Economics
Commerce
Accountancy
History
Computer Applications
Biology
Computer Technology
Computer Applications
Computer Science
Business Maths and Statistics
Commerce
Economics
Maths
Chemistry
Physics
Computer Technology
History
Accountancy
Tamil
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