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Solved CBSE Class 9 Maths Chapter 4 Assertion and Reason Questions – Quadratic Equations. Here we (Net Explanations) working very hard to providing you with the Important Assertion Reason Questions for this Chapter.
Assertion and Reason Questions Class 9 Maths Chapter 4 Quadratic Equations
1.) Assertion: equation of (x+1)^2 – x^2= 0 has 1 no. of real roots.
Reason: (x+1)^2-x^2= 0
X^2+2x+1-x^2=0
X= -1/2.
a) both Assertion and reason are correct and reason is correct explanation for Assertion.
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false.
d) both Assertion and reason are false.
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
2.) Assertion: The roots of quadratic equation 2x^2+x+4=0 are no real roots
Reason: square root of negative no. is imaginary
a) both Assertion and reason are correct and reason is correct explanation for Assertion.
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false.
d) both Assertion and reason are false.
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
3.) Assertion: (x+2) (x-1) = x^2-2x-3 is a quadratic equation
Reason: the degree of quadratic equation is 2
a) both Assertion and reason are correct and reason is correct explanation for Assertion.
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false.
d) both Assertion and reason are false.
Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion.
4.) Assertion: The decriminant of 3x^-14x+k =0 is 100 then value of k is 8
Reason: the decriminant of quadratic equation of form ax^2+bx+c is D = b^2-4ac
a) both Assertion and reason are correct and reason is correct explanation for Assertion.
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false.
d) both Assertion and reason are false.
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
5.) Assertion: 3y^2-7=√3 y is a quadratic equation
Reason: The highest power of quadratic equation is 2
a) both Assertion and reason are correct and reason is correct explanation for Assertion.
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false.
d) both Assertion and reason are false.
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
6.) Assertion: n-3=4n is not a quadratic equation
Reason: The highest power of n-3=4n equation is 1
a) both Assertion and reason are correct and reason is correct explanation for Assertion.
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false.
d) both Assertion and reason are false.
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
7.) Assertion: 3x^2-3√2 x+1 is quadratic polynomial equation whose sum & product of zeroes is √2&1/3
Reason: sum of zeroes a+b & product of zeroes a×b
a) both Assertion and reason are correct and reason is correct explanation for Assertion.
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false.
d) both Assertion and reason are false.
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
8.) Assertion: The zeroes of x^2-2x-8 are (4,-2)
Reason: x(x-4)+2(x-4)=0
(X-4)(x+2)=0
X=4,x=-2
a) both Assertion and reason are correct and reason is correct explanation for Assertion.
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false.
d) both Assertion and reason are false.
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
9.) Assertion: a quadratic equation in the variable x is an equation of the form ax^2+bx+c=0
Reason: 2x^2+x-300=0 is a quadratic equation
a) both Assertion and reason are correct and reason is correct explanation for Assertion.
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false.
d) both Assertion and reason are false.
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
10.) If p(x) is a quadratic polynomial then p(x) =0 is called a quadratic equation
Reason: (x-2)(x+1)=(x-1)(x+3) is a quadratic equation
a) both Assertion and reason are correct and reason is correct explanation for Assertion.
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false.
d) both Assertion and reason are false.
Ans: c) Assertion is true but reason is false.
11.) Assertion: The equation x-2/x-1=1-2/x-1 has no root
Reason: x-1≠0 then only above equation is defined
a) both Assertion and reason are correct and reason is correct explanation for Assertion.
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false.
d) both Assertion and reason are false.
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
12.) Assertion: The product of two successive positive integral multiples of 5is 300 then the two nos. are 15& 20
Reason: product of two consecutive integral is multiple of 2
a) both Assertion and reason are correct and reason is correct explanation for Assertion.
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false.
d) both Assertion and reason are false.
Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion
13.) Assertion: 1/x-3+1/x+5=1/6 x can’t have values 3&-5
Reason: if discriminant D= b^2-4ac >0 then the roots of quadratic ax^2+bx+c=0 are real and unequal
a) both Assertion and reason are correct and reason is correct explanation for Assertion.
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false.
d) both Assertion and reason are false.
Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion
14.) Assertion: The equation 8x^2+3kx+2=0 has equal roots than value of k is±8/3
Reason: The equation ax^2+bx+c=0 has equal roots if D= b^2-4ac=0
a) both Assertion and reason are correct and reason is correct explanation for Assertion.
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false.
d) both Assertion and reason are false.
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
15.) Assertion: value of x are +a/2, -a for a quadratic equation2x^2+a x-2a=0
Reason: ax^2+bx+c=0,x=-b+-√b^2-4ac/2a
a) both Assertion and reason are correct and reason is correct explanation for Assertion.
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false.
d) both Assertion and reason are false.
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.