16. Plot each of the following points in the Cartesian Plane:
(a) (3, 4)
(b) (-3, -4)
(c) (0, -5)
(d) (2, -5)
(e) (2, 0)

Academic Mathematics NCERT Class 9

Plot each of the following points in the Cartesian Plane:
(a) (3, 4)
(b) (-3, -4)
(c) (0, -5)
(d) (2, -5)
(e) (2, 0)

Answer:

Each of the above points has been plotted in the cartesian plane below

Tutorialspoint

Updated on: 10-Oct-2022

68 Views

Solve the following equations:$(a).\ 4=5(p-2)$$(b).\ -4=5(p-2)$$(c).\ 16=4+3(t+2)$$(d).\ 4+5(p-1)=34$$(e).\ 0=16+4(m-6)$
Find the number from each of the following expanded forms:$(a)$. $8\times10^4+6\times10^3+0\times10^2+4\times10^1+5\times10^0$$(b)$. $4\times10^4+5\times10^3+3\times10^2+2\times10^0$$(c)$. $3\times10^4+7\times10^2+5\times10^0$$(d)$. $9\times10^5+2\times10^2+3\times10^1$
Following data gives the number of children in 41 families:$1, 2, 6, 5, 1, 5, 1, 3, 2, 6, 2, 3, 4, 2, 0, 0, 4, 4, 3, 2, 2, 0, 0, 1, 2, 2, 4, 3, 2, 1, 0, 5, 1, 2, 4, 3, 4, 1, 6, 2, 2.$Represent it in the form of a frequency distribution.
Simplify and express each of the following in exponential form:$(i)$. $\frac{2^3\times3^4\times4}{3\times32}$$(ii)$. $[(5^2)^{3\ }\times5^4]\div5^7$$(iii)$. $(25^4\div5^3)$$(iv)$. $\frac{3\times7^2\times11^8}{21\times11^3}$$(v)$. $\frac{3^7}{3^4\times3^3}$$(vi)$. $2^0+3^0+4^0$$(viii)$. $2^0\times3^0\times4^0$$(viii)$. $(3^0+2^0)\times5^0$$(ix)$. $\frac{2^8\times a^5}{4^3\times a3}$$(x)$. $(\frac{a^5}{a^3})\times a^8$$(xi)$. $\frac{4^5\times a^8b^3}{4^5\times a^5b^2}$$(xii)$. $(2^3\times2)^2$
Simplify and write the answers in exponential forms.(a) \( 3 \times 3^{10} \)(b) \( 5^{2} \times 5^{7} \)(c) \( (-7)^{2} \times(-7)^{7} \)(d) \( 27^{3} \p 3^{9} \)(e) \( \left(25^{0}+5^{0}\right) \times 5^{0} \)(f) \( \left(2^{0} \p 3^{0}\right) \times 4^{0} \)
Simplify the following:a. $3 \times 10^2$ b. $2^5 \times 5^3$c. $0 \times 10^4$
Show that the points $A (1, 0), B (5, 3), C (2, 7)$ and $D (-2, 4)$ are the vertices of a parallelogram.
Prove that the points $(3, -2), (4, 0), (6, -3)$ and $(5, -5)$ are the vertices of a parallelogram.
Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer.(i) $(-1, -2), (1, 0), (-1, 2), (-3, 0)$(ii) $(-3, 5), (3, 1), (0, 3), (-1, -4)$(iii) $(4, 5), (7, 6), (4, 3), (1, 2)$
Choose the correct answer from the given four options in the following questions:Which of the following equations has no real roots?(A) \( x^{2}-4 x+3 \sqrt{2}=0 \)(B) \( x^{2}+4 x-3 \sqrt{2}=0 \)(C) \( x^{2}-4 x-3 \sqrt{2}=0 \)(D) \( 3 x^{2}+4 \sqrt{3} x+4=0 \)
Solve the following equations:$(a).\ 2(x+4)=12$$(b).\ 3(n-5)=21$$(c).\ 3(n-5)=-21$$(d).\ -4(2+x)=8$$(e).\ 4(2-x)=8$
Evaluate the following:$(3^0 - 2^0 ) \times 5^0$
Show that $A (-3, 2), B (-5, -5), C (2, -3)$ and $D (4, 4)$ are the vertices of a rhombus.
Convert the following ratios to percentage: $( a).\ 3:1,\ ( b).\ 2:3:5,\ ( c).\ 1:4,\ ( d).\ 1:2:5$.
Choose the correct answer from the given four options in the following questions:Which of the following equations has two distinct real roots?(A) \( 2 x^{2}-3 \sqrt{2} x+\frac{9}{4}=0 \)(B) \( x^{2}+x-5=0 \)(C) \( x^{2}+3 x+2 \sqrt{2}=0 \)(D) \( 5 x^{2}-3 x+1=0 \)

Kickstart Your Career

Get certified by completing the course

Get Started

Advertisements