**syallbus for mathematics -**

**• relationship and function**

• Algebra

• Calculus

• Vector and three - Dimensional Geometry

• Linear Programming

• Probability

**Today I am sharing a previous year asked maths questions which are helpful for upcoming exam .**

So here I am providing a previous year mathematics questions which are listed below -

**• find the value given question below**

1 • ∫ ∂x / 5 - 8x - x²

2 • show that four point A ( 3 , 7 , 9) B ( 0 , -1 , 1) C ( 1 , 9 , 4 ) and D ( - 4 , 4 , 7 ) are coplanar .

**3 • find the area enclosed between the parabola 4y = 3x² and the straight line 3x - 2y + 12 .**

4 • find the value of λ , if four point with position vector 3î + 6ĵ + 9k̂ , î +2ĵ +3k̂ , 2î+3ĵ+k̂ , 4î+6ĵ+λk̂ are coplanar .

5 • A and B throw a pair of dice alternately , A wins the game if he gets a total of 5 and B wins the game if he gets a total of 8, if A starts the game , then find the probability that B wins .

6 • using the method of integration , find the area of triangular region whose vertices are ( 2 , - 2 ) , ( 4 , 3 ) and ( 1 , 2 ) .

7 • find ∫ dx / sinx + sin2x

8 • solve the differential equation -

( sin⁻¹ y - x ) dy = ( 1 + y² ) dx

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