If B D A C and C E A B, prove that C A A B =C E D B - Vidyadip

Question

If $B D \perp A C$ and $C E \perp A B$, prove that $\frac{C A}{A B}=\frac{C E}{D B}$

✓

Answer

$\begin{aligned} & \frac{ AE }{ AD }=\frac{ AC }{ AB }=\frac{ EC }{ DB } \\ & \frac{ AC }{ AB }=\frac{ CE }{ DB }\end{aligned}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "[2 Mark Questions]" from Geometry→Geometry — all question types→MATHS STD 10 question papers→Tamilnadu Board STD 10 question papers→Tamilnadu Board question paper generator→

Similar questions

Prove that $\left[\frac{1+\sin \theta-\cos \theta}{1+\sin \theta+\cos \theta}\right]^2=\frac{1-\cos \theta}{1+\cos \theta}$

In a G.P. $729, 243, 81, …$ find $t_7$

Find the L.C.M. of the given expressions
$-9 a^3 b^2, 12 a^2 b^2 c$

Find the square root of the following
$9 x^2-24 x y+30 x z-40 y z+25 z^2+16 y^2$

Find the least positive value of x such that 5x ≡ 4 (mod 6)

For what value of natural number $n, 4^n$ can end with the digit 6?

Find the $n ^{\text {th }}$ term of the following sequence
$0, \frac{1}{2}, \frac{2}{3}, \ldots$

If the function $f$ is defined by $f ( x )=\left\{\begin{array}{ll}x+2 ; & x>1 \\ 2 ; & -1 \leq x \leq 1 \\ x-1 ; & -3

Find the equation of a straight line passing through the point P(−5, 2) and parallel to the line joining the points Q(3, −2) and R(−5, 4)

Find the L.C.M. of the given expressions
$\left(2 x^2-3 x y\right)^2,(4 x-6 y)^3,\left(8 x^3-27 y^3\right)$