C-08-Q137mediumsingle_mcq

The internal and external bisectors of $\angle B$ and $\angle C$ of $\triangle ABC$ meeting at $P$ and $Q$ make $B,P,C,Q$ —

acollinear
bconcyclic
ccoincident
dconcurrent at one vertex

ব্যাখ্যা

The internal and external bisectors of an angle are perpendicular, so $\angle PBQ$ and $\angle PCQ$ are both right angles; since these opposite angles are supplementary, $B,P,C,Q$ are concyclic.

এই অধ্যায়ের আরও প্রশ্ন

C-08-Q138In Exercise 8.3 Q2, four points are—
C-08-Q139If chords of a circle with centre meet at right angles inside the circle, then equals—
C-08-Q140In a cyclic quadrilateral with opposite angles supplementary and bisecting , we have—
C-08-Q141In a circle of radius cm with cm and bisecting , the length equals—
C-08-Q142If two triangles standing on equal bases have supplementary vertical angles, their circumcircles are—
C-08-Q143The bisector of an angle of a cyclic quadrilateral and the exterior bisector of the opposite angle meet—
C-08-Q144A straight line and a circle in a plane can have at most—
C-08-Q145If a straight line intersects a circle at exactly two points, the line is called—
C-08-Q146If a straight line touches a circle at exactly one point, the line is called—
C-08-Q147The single common point of a tangent and a circle is called—

Circle — সব প্রশ্ন দেখুন (231টি) →

The internal and external bisectors of $\angle B$ and $\angle C$ of $\triangle ABC$ meeting at $P$ and $Q$ make $B,P,C,Q$ —

acollinear

bconcyclic

ccoincident

dconcurrent at one vertex

ব্যাখ্যা

The internal and external bisectors of an angle are perpendicular, so $\angle PBQ$ and $\angle PCQ$ are both right angles; since these opposite angles are supplementary, $B,P,C,Q$ are concyclic.

The internal and external bisectors of ∠B\angle B∠B and ∠C\angle C∠C of △ABC\triangle ABC△ABC meeting at PPP and QQQ make B,P,C,QB,P,C,QB,P,C,Q—

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

The internal and external bisectors of ∠B\angle B∠B and ∠C\angle C∠C of △ABC\triangle ABC△ABC meeting at PPP and QQQ make B,P,C,QB,P,C,QB,P,C,Q—

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

The internal and external bisectors of $\angle B$ and $\angle C$ of $\triangle ABC$ meeting at $P$ and $Q$ make $B,P,C,Q$ —

The internal and external bisectors of $\angle B$ and $\angle C$ of $\triangle ABC$ meeting at $P$ and $Q$ make $B,P,C,Q$ —