Question 97
Match the items of Column I with that of Column II.
Column IColumn II(i)The number of corners of a quadrilaeral(a)=(ii)The variable in the equation 2p+3=5(b)constant(iii)The solution of the equation x+2=3(c)+1(iv)solution of the equation 2p+3=5(d)−1(v)A sign used in an equation(e)p(f)x
Column IColumn II(i)The number of corners of a quadrilaeral(b)constant(ii)The variable in the equation 2p+3=5(e)p(iii)The solution of the equation x+2=3(c)+1(iv)solution of the equation 2p+3=5(c)+1(v)A sign used in an equation(a)=
(i) The number of corners of a quadrilateral are 4, which is a constant.
(ii) Given, equation is 2p + 3 = 5. A variable is a letter that represents an unknown quantity which can take any value.
∴ Variable in the given equation = p
(iii) Given, equation is x+2=3
Subtracting 2 from both sides of the equation, we get
x+2−2=3−2
⇒x=1
(iv) Given, equation is 2p + 3 = 5
Subtracting 3 from both sides of the equation, we get
2p+3-3 = 5 - 3
⇒ 2p = 2
Dividing bpth sides of the equation by 2, we get
⇒ 2p2=22
⇒ p = 1
(v)An equation has an equal sign (=) between its left hand side and right hand side.