Exercise 5 A
Question 1
Add
(i) $5 x y,-2 x y,-11 x y, 8 x y$
(ii) $3 a^{2} b,-5 a^{2} b, 10 a^{2} b,-7 a^{2} b$
(iii) $a+b, 3 a+2 b$
(iv) $3 a-2 b+c, 5 a+8 b-7 c$
(v) $4 x^{2}-5 x y+3 y^{2}, 8 x^{2}+7 x y-6 y^{2},-2 x^{2}-9 x y+13 y^{2}$
Sol :
Question 2
Subtract :
(i) $3 x-5$ from $8 x-17$
(ii) $-8 x y$ from $7 x y$
(iii) $2 x^{2}-5 x+10$ from $5 x^{2}-11 x+19$
(iv) $3 y^{2}-8 y+7$ from $9 y^{2}+5 y+6$
(v) $-7 p+2 q-3 r+5$ from $2 p-3 q-7 r-11$.
(vi) $5 m^{3}-3 m^{2}+7 m-8$ from $8 m^{3}-9 m^{2}+5 m-2$.
Sol :
Question 3
Two adjacent sides of a rectangle are $3 x^{2}-5 y^{2}$ and $7 x^{2}-x y$. Find its perimeter.
Sol :
Question 4
The perimeter of a triangle is $7 p^{2}-8 p+9$ and two of its sides are $2 p^{2}-p+1$ and $11 p^{2}-3 p+5$. Find the third side of the triangle.
Sol :
Multiple Choice Questions (MCQs)
Question 5
$2 x^{4}-4 x^{2} y^{2}+5 y^{5}$ is a of degree
(a) Binomial; 4
(b) Trinomial; 2
(c) Trinomial; 5
(d) Monomial; 5
Sol :
Question 6
Which of the following is not equal to $-6 t^{2}-t$ ?
(a) $-\left(6 t^{2}+t\right)$
(b) $\left(t^{2}+8 t\right)-\left(7 t^{2}+9 t\right)$
(c) $\left(3 t^{2}-5 t\right)-\left(-5 t^{2}-4 t\right)$
(d) $\left(2 t^{2}-3 t+1\right)-\left(8 t^{2}-2 t+1\right)$
Sol :
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