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Important Questions
Class X
Mathmatics
Mathematics By Mr. Ajai Kumar Shukla
CBSE Important Questions
Mathmatics Class X
Index
CLASS X MATHS TEST (REAL NUMBERS, POLYNOMIALS)
Choose the correct option : EACH QUESTION 1 MARKS (SECTION A)
Every positive even integer is of the form:
q
2q
2q + 1
2q -1
Every positive odd integer is of the form
q
2q
2q + 1
2q -1
Decimal representation of an irrational number is always:
non-terminating ,non-repeating
terminating
repeating
non-terminating, repeating
n
2
- 1 is divisible by 8, if n is :
an odd integer
an integer
a natural number
an even integer
According to Euclid’s division algorithm using Euclid’s division lemma for any two positive integers a & b with a > b enables us to find:
HCF
LCM
DECIMAL EXPANSION
PROBABILITY
Sum of the zeroes of a quadratic polynomial p(x) = ax
2
+ bx + c is given by :
c/a
a/c
– b/a
– a/b
The degree of the polynomial (x + 1) (x
2
- x - x
4
+ 1) is :
2
3
4
5
The quadratic polynomials whose sum of zeroes is +3 & product of zeroes is +2 is:
x
2
+ 3x -2
x
2
- 2x + 3
x
2
- 3x + 2
x
2
- 3x - 2
If - 4 is a zero of the polynomial x
2
- x - (2 + 2k), then the value of k is :
- 4/3
4/3
2/3
- 2/3
The Q.P. p(y), the sum of whose zeroes is - 15 & one zeroes is -7, is :
y
2
- 15y - 56
y
2
+ 15y + 56
y
2
+ 15y + 54
y
2
+ 15 - 56
Note : EACH QUESTION 3 MARKS (SECTION B)
Prove that √5 is irrational.
Show that (4 - √3) is irrational.
Divide 30x
4
+ 11x
3
- 82x
2
- 12x + 48 by (3x
2
+ 2x - 4) & verify the result by division algorithm.
Prove that 3+√5 is an irrational number.
Find a Q.P. the sum of whose zeroes is 7 & their product is 12. Hence find the zeroes of the polynomials.
Find all the zeroes of the polynomials x
3
+ 3x
2
- 2x - 6, if two of its zeroes are -√2 & √2.
If α, β are the zeroes of the polynomials, such that α+ β = 6 α β = 4, then write the polynomials.
For what value of k, will the following system of linear equations have infinitely many solutions? 2x + 3y = 4 & (k+2)x + 6y=3k + 2.
Determine a & b for which the following system of linear equations has infinite number of solutions 2x - (a - 4) y = 2b + 1; 4x - (a -1) y = 5b -1.
If 6 years hence a man’s age will be 3times the age of his son & three years ago he was 9times as old as his son, find the present age of the man?
Submitted By:
Mr. Ajai Kumar Shukla,
RACHNA TUTORIALS, 6/1003 JANKIPURAM VISTAR LUCKNOW
Email Id:
[email protected]
Mobile: +91 - 9415467421
Index
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