WB JEE 2023 | Properties of Triangle Question 10 | Mathematics

WB JEE 2023

MCQ (Single Correct Answer)

-0.25

ABC is an isosceles triangle with an inscribed circle with centre O. Let P be the midpoint of BC. If AB = AC = 15 and BC = 10, then OP equals

$${{\sqrt 5 } \over {\sqrt 2 }}$$ unit

$${5 \over {\sqrt 2 }}$$ unit

$$2\sqrt 5 $$ unit

$$5\sqrt 2 $$ unit

WB JEE 2019

MCQ (Single Correct Answer)

-0.25

The three sides of a right angled triangle are in GP (geometric progression). If the two acute angles be $$\alpha$$ and $$\beta$$, then tan$$\alpha$$ and tan$$\beta$$ are

$${{\sqrt 5 + 1} \over 2}$$ and $${{\sqrt 5 - 1} \over 2}$$

$$\sqrt {{{\sqrt 5 + 1} \over 2}} $$ and $$\sqrt {{{\sqrt 5 - 1} \over 2}} $$

$${\sqrt 5 }$$ and $${1 \over {\sqrt 5 }}$$

$${{\sqrt 5 } \over 2}$$ and $${2 \over {\sqrt 5 }}$$

WB JEE 2019

MCQ (Single Correct Answer)

-0.25

The angles of a triangle are in the ratio 2 : 3 : 7 and the radius of the circumscribed circle is 10 cm. The length of the smallest side is

2 cm

5 cm

7 cm

10 cm

WB JEE 2016

MCQ (Single Correct Answer)

-0.25

If in a $$\Delta$$ABC, AD, BE and CF are the altitudes and R is the circumradius, then the radius of the circumcircle of $$\Delta$$DEF is

$${R \over 2}$$

$${2R \over 3}$$

$${R \over 3}$$

None of these

WB JEE Subjects