C-14-Q036mediumsingle_mcq

If $D$ on $AB$ with $AD = 6$ , $DB = 4$ , and $E$ on $AC$ with $AE = 9$ , $EC = 6$ , then $DE$ is —

aperpendicular to $BC$
bparallel to $BC$
chalf of $BC$
dequal to $BC$

ব্যাখ্যা

Here $\dfrac{AD}{DB} = \dfrac{6}{4} = \dfrac{3}{2}$ and $\dfrac{AE}{EC} = \dfrac{9}{6} = \dfrac{3}{2}$ . Since the two sides are divided in the same ratio, by the converse of the Basic Proportionality Theorem $DE \parallel BC$ .

এই অধ্যায়ের আরও প্রশ্ন

C-14-Q037The internal bisector of an angle of a triangle divides the opposite side in the ratio of —
C-14-Q038In , bisects and meets at . Then —
C-14-Q039In the proof of Theorem 30, the auxiliary line is drawn —
C-14-Q040In the proof, because they are —
C-14-Q041In the proof, because they are —
C-14-Q042In the proof, because is —
C-14-Q043In , , , . bisects , meets at . Then
C-14-Q044In , , , . If bisects ,
C-14-Q045In , , , . If bisects ,
C-14-Q046If a side of a triangle is divided internally in the ratio of the other two sides, the segment to the opposite

If $D$ on $AB$ with $AD = 6$ , $DB = 4$ , and $E$ on $AC$ with $AE = 9$ , $EC = 6$ , then $DE$ is —

aperpendicular to

BC

bparallel to

BC

chalf of

BC

dequal to

BC

If DDD on ABABAB with AD=6AD = 6AD=6, DB=4DB = 4DB=4, and EEE on ACACAC with AE=9AE = 9AE=9, EC=6EC = 6EC=6, then DEDEDE is —

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

If DDD on ABABAB with AD=6AD = 6AD=6, DB=4DB = 4DB=4, and EEE on ACACAC with AE=9AE = 9AE=9, EC=6EC = 6EC=6, then DEDEDE is —

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

If $D$ on $AB$ with $AD = 6$ , $DB = 4$ , and $E$ on $AC$ with $AE = 9$ , $EC = 6$ , then $DE$ is —

If $D$ on $AB$ with $AD = 6$ , $DB = 4$ , and $E$ on $AC$ with $AE = 9$ , $EC = 6$ , then $DE$ is —