Please refer to Quadratic Equation HOTs Class 10 Mathematics provided below with Quadratic Equation. All HOTs for Class 10 Mathematics with answers provided below have been designed as per the latest syllabus and examination petter issued by CBSE, NCERT, KVS. Students of Standard 10 Mathematics should learn the solved HOTS for Class 10 Mathematics provided below to gain better marks in examinations.
Quadratic Equation Class 10 Mathematics HOTs
Questions of 1 Mark
Question. Divide 51 into two parts whose product is 378.
Answer
42,9
Question. Find the sum & product of the roots of the equation x2 – = 0
Answer
sum = 0 , Product = – √13
Question. Find the equation whose roots are 5 + and 5 –
Answer
X2 – 10x + 23 = 0
Question. Determine K, so that the equation x2 – 4x + k = 0 has no real roots.
Answer
K > 4
Question. Find the value of a and b such that x = 1, and x = – 2 are solutions of the quad. Equation x2 + ax + b = 0
Answer
Question. For the given equation x2 – 2 x – 2 = 0
Answer
Question. If one root of a quad. Equation is 2 -√3/2 then what is the other root?
Answer
Question. If ∞ and β are the roots of the equation x2 – 4x –5 = 0. Find ∞-1 + β-1
Answer
-4/5
Question. Find the value of K for which the following quad. Equation have equal roots
(a). (k – 4) x2 + 2(k – 4) x + 4 = 0
(b). kx (x – 2) + 6 = 0
Answer
(a) P ≤ 4 (b) P ≥ -8 (c) P ≥ 8, ≤ – 8
Questions of 2 Mark
Question. Using quadratic formula, solve the following equation for x abx2 + (b2 – ac) x – bc = 0 (a,b,∈ R)
Answer
X = -b/a. x = c/b
Question. Solve the following by factorization method
(a) 2x2 + ax – a2 = 0, a ∈ R
(b) 4x2 – 4ax + (a2 – b2) = 0 (a,b ∈ R)
Answer
(a) x = -a , a/2 (b) a + b/2
Question. If one root of the quadratic equation 2x2 + kx – 6 = 0 is 2, find the value of k also find the other root
Answer
2, -3/2
Question.
Answer
25, 1/25
Question. Find two consecutive multiple of three whose product is 270
Answer
15,18 ; -15, -18
Question. If the list price of a toy is reduced by Rs 2 a person can by 2 toys more for Rs 360.find original price of the toy.
Answer
Rs.20
Question. If – 5 is a root of 2x2 + px – 15 = 0 & the quad. Equation f (x2 + x) + k = 0 has equal root find the value of k
Answer
P = 7, k = 7/4
Question. Is the following situation possible ? if so determine their present ages The sum of the ages of two friend are 20 years. 4 years ago, the product of their age in years was 48.
Answer
Not possible
Question. Two no. differ by 4 and their product is 192, find the numbers..
Answer
12,16