Question
Check whether the following numbers are in continued proportion: $9,12,16$
✓
Answer
If $a , b , c$ are in continued proportion then $b ^2= ac$.
9, 12, 16
Let, $a =9, b=12$ and $c =16$
Here, $b^2=12^2=144$
$ac =9 \times 16=144$
$\therefore b ^2= ac$
$\therefore 9,12,16$ are in continued proportion.
9, 12, 16
Let, $a =9, b=12$ and $c =16$
Here, $b^2=12^2=144$
$ac =9 \times 16=144$
$\therefore b ^2= ac$
$\therefore 9,12,16$ are in continued proportion.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Identify constant, linear, quadratic, cubic and quadrtic polynomials from the following:
6y
6y
Find total surface area of a cone, if its base radius is 12 cm and height is 16 cm. (p = 3.14)
Observe the set A, B, C given by Venn diagrams and write which of these are disjoint sets.
Convert the following ratios into percentages : $\frac{7}{10}$
→Write the degree of the given polynomials : $√2m^{10} – 7$
→The following figure lie on the same base and between the same parallels. In such a case, write the common base and the two parallels.
State whether the given algebraic expressions are polynomials? Justify : 10
From the information given below, find which of the point is between the other two. If the points are not collinear, state so : d(X, Y) = 15, d(Y, Z) = 7, d(X, Z) = 8
Factorise:
$a^3-12 a(a-4)-64$
→$a^3-12 a(a-4)-64$
For the following points, write the quadrant in which it lies.(11, 6)