Class 10 maths term 2 important questions with solutions standard - Questions Bank

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Class 10 maths term 2 important questions with solutions. We hope this blog will help the learners as well as those candicate who will appear in the boards exams 2022-2023 because we provide here all possible solutions of queries by our users. Class 10 maths term 2 important questions with solutions standard - Questions Bank (Class 10 maths term 2 important questions with solutions) for Examination Year 2022-2023


Class 10 maths term 2 important questions with solutions standard - Questions Bank (Class 10 maths term 2 important questions with solutions) for Examination Year 2022-2023


Class 10 maths term 2 important questions with solutions standard - Questions Bank (Class 10 maths term 2 important questions with solutions) for Examination Year 2022-2023


Question Origin:

Math Final Term Board Exam Class 10

Class 10 maths term 2 important questions with solutions standard

Source:www.questionsbanks.com Last updated: 2022-10-09 03:34:26


Answer:

Class 10 maths term 2 important questions with solutions standard

Math Final Term Board Exam Class 10


Q1. Let a and b be two positive integers such that a = p3q4 and b = p2q3 , where p and q are prime numbers. If HCF(a,b) = pmqn and LCM(a,b) = prqs, then (m+n)(r+s)=
(a) 15
(b) 30
(c) 35
(d) 72

Solution:  HCF(a,b) = pmq = p2q 

Therefore, m = 2 and n = 3 

LCM(a,b) = prq = p3q

Therefore, r = 3 and s = 4 

Now (m+n)(r+s) = (2 + 3) (3 + 4) = 5 x 7 = 35 

Correct Answer : (c) 35 

Q2. Let p be a prime number. The quadratic equation having its roots as factors of p is
(a) x2 –px +p=0
(b) x2–(p+1)x +p=0
(c) x2+(p+1)x +p=0
(d) x2 –px+p+1=0

Solutions: (b) x2– (p+1)x +p = 0

Q3. If α and β are the zeros of a polynomial f(x) = px2 – 2x + 3p and α + β = αβ, then p is
(a)-2/3
(b) 2/3
(c) 1/3
(d) -1/3

Solutions: Given that α + β = αβ 

Here α + β = - b/a 

                 = - (-2) / p = 2/p 

αβ = c/a = 3p/p = 3 

Now α + β = αβ  

=> 2/p = 3 

=> p = 2/3 

Correct Answer : (b) 2/3 

Q4. If the system of equations 3x + y = 1 and (2k-1)x + (k-1)y = 2k+1 is inconsistent, then k =
(a) -1
(b) 0
(c) 1
(d) 2

Solution: 

3x + y = 1   ................. (i) 

(2k-1)x + (k-1)y = 2k+1  ............ (ii) 

a1/a2 = 3/(2k-1) 

b1/b2 = 1/(k-1) 

c1/c2 = 1/2k+1 

For a pair of linear equation to be inconsistent 

a1/a2 = b1/b2 

3/(2k-1)  = 1/(k-1) 

3(k - 1) = 2k - 1

3k - 2 = 2k -1 

3k - 2k = - 1 + 2 

k = 1 

Correct Answer: (c) 1 

Q5. If the vertices of a parallelogram PQRS taken in order are P(3,4), Q(-2,3) and R(-3,-2), then the coordinates of its fourth vertex S are
(a) (-2,-1)
(b) (-2,-3)
(c) (2,-1)
(d) (1,2)

Solution: 

Now the mid-point of PR where PR and QS are two diagonals pf ||gm PQRS. 

P(3,4) and R(-3,-2) 

x = (3 + -3 )/ 2 = 0 

y = (4 + - 2) / 2 = 1

The coordinates of mid point of PR is O(0, 1) 

Mind that diagonals PR and OS bisect each other at point O(0, 1)

 Q(-2,3) and let S(x, y)  and O(0, 1) is also mid point of QS 

Then, using mid-point formula 

x = (-2 + x) / 2 

0 = - 2 + x 

gives x = 2 

y = (3 + y)/ 2 

1 = (3 + y)/ 2  

1 x 2 = 3 + y 

y = 2 - 3 

y = - 1 

The coordinates of  S(2, - 1)

Correct Answer: (c) (2, - 1)


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Class 10 maths term 2 important questions with solutions standard - Questions Bank

All chapters of NCERT Book as ncert solutions have exercise questions, textual questions and so many addtional questions like short answered questions, long answered questions and very long questions, here we included all types of questions answers format that need for a students and other stock holders like teachers and tutors. Class 10 maths term 2 important questions with solutions standard - Questions Bank (Class 10 maths term 2 important questions with solutions) for Examination Year 2022-2023


Class 10 maths term 2 important questions with solutions standard - Questions Bank


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