Statement A (Assertion): 𝑥 = 3 and 𝑦 = 2 is a solution of the linearequation 𝟐𝒙 + 𝟑𝒚 = 𝟏𝟐.Statement R( Reason) : 𝑥 = 4 and 𝑦 = 2 is a solution of the linearequation 𝒙 + 𝟑𝒚 = 𝟏𝟎.(a) Both assertion (A) and reason (R) are true and reason (R) is thecorrect explanation of assertion (A)(b) Both assertion (A) and reason (R) are true and reason (R) is not thecorrect explanation of assertion (A)(c) Assertion (A) is true but reason(R) is false.(d) Assertion (A) is false but reason(R) is true.

Assertion (A): There are infinite number of lines which pass through (2, 14)Reason(R): A linear equation in two variables has infinitely many solutions.a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).b) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion(A).c) Assertion (A) is true but Reason (R) is false.d) Assertion (A) is false but Reason (R) is trueSECTION BSection B consists of 5 questions of 2 marks each.21. Write the expanded form of (7𝑎 − 3𝑏)3[ OR ]Factorize 8𝑥3 − 27𝑦3.22. Without plotting the points indicate the quadrant in which they will lie, ifa) the ordinate is 5 and abscissa is 3b) the abscissa is – 5 and ordinate is 323. Find the measure of an angle which is 26° more than its complement .24. In the given figure, find PM (Give reasons)25. Find the possible expressions for the length and breadth of the rectangle whose area is given by4𝑎2 + 4𝑎 − 3.[ OR ]Using suitable identity find the value of (29)3.

Assertion (A): The point (0, 4) lies on y-axis.Reason(R): The x-coordinate of a point on y-axis is zero(a) Both assertion (A) and reason (R) are true and reason (R) is the correctexplanation of assertion (A).(b) Both assertion (A) and reason (R) are true but reason (R) is not the correctexplanation of assertion (A).(c) Assertions (A) is true but reason (R) is false.(d) Assertions (A) is false but reason (R) is true.20. Assertion (A): The HCF of two numbers is 5 and their product is 150. Then their LCMis 40.Reason(R): For any two positive integers a and b, HCF (a, b) x LCM (a, b) = a x b.(a) Both assertion (A) and reason (R) are true and reason (R) is the correctexplanation of assertion (A).(b) Both assertion (A) and reason (R) are true but reason (R) is not the correctexplanation of assertion (A).(c) Assertions (A) is true but reason (R) is false.(d) Assertions (A) is false but reason (R) is true

(a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation assertion (A).(b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation ofassertion (A).(c)Assertion (A) is true but reason (R) is false.(d)Assertion (A) is false but reason (R) is true.7. Assertion : Sum of two irrational numbers 2 + √3 and 4 + √3 is irrational number.Reason : Sum of two irrational numbers is always an irrational numbe

Statement B (Reason): Any positive integer ending with the digit zero is divisible by 2 and 5 both. a. Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A) b. Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A) c. Assertion (A) is true but reason (R) is false d. Assertion (A) is false but reason (R) is true

Statement A (Assertion): -5,2,0,5 is an Arithmetic Progression. Statement B (Reason): The terms of an Arithmetic Progression cannot have both positive and negative rational numbers. a. Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion(A). b. Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A). c. Assertion (A) is true but reason (R) is false. d. Assertion (A) is false but reason (R) is true.