Relation between Inradius and Perimeter of Triangle
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What is the value of period of ?
Let the centroid of an equilateral triangle be at the origin. Let one of the sides of the equilateral triangle be along the straight line . If be the radius of circumcircle and incircle respectively of , then is equal to:
Find the value of x for which DE∥AB in the given figure.
For a regular polygon, let r and R be the radii of the inscribed and the circumscribed circles. An incorrect statement among the following is
there is a regular polygon with
there is a regular polygon with
there is a regular polygon with
there is a regular polygon with
In △ABC, right angled at B, BC = 5 cm, ∠ BAC = 30∘ , find the length of the sides AB and AC.
If D is any point on the side BC of ΔABC, then
AB + BC + CA > 2AD
AB + BC + CA < 2AD
AB + BC + CA = 2AD
AB + BC + CA > 3AD
Two circles touch each other externally.If the sum of their areas is 130πcm2 and the distance between their centres is 14cm. Find the sum of their radii.
11 cm
19 cm
14 cm
17 cm
ABC is a right triangle, right angled at B. A circle is inscribed in it. The lengths of the two sides containing the right angle are 6 cm and 8 cm. Find the radius of the incircle. [4 MARKS]
Angle between the tangents to the curve at points is
In the figure, P is hte centre of an excircle of ▲ ABC. If ∠ABC=40° and ∠BAC=80°, find the angle measure of triangle APC.
60°
50°
120°
110°
Shortest distance between the curves and is
greater than
less than
greater than
greater than
Two circles with centers A and B, and radii 5 cm and 3 cm, touch each other internally, If the perpendicular bisector of the segment AB meets the bigger circle in P and Q; find the length of PQ.
4\sqrt{6}\) cm.
2\sqrt{6}\) cm.
8\sqrt{6}\) cm.
9\sqrt{6}\) cm.
If curves and intersect orthogonally then value of is:
- 2 cm, 3 cm, 4 cm
- 3 cm, 4 cm, 1 cm
- 1 cm, 2 cm, 4 cm
- 1 cm, 2.5 cm, 3.5 cm
In the fig. AB, AC and PQ are tangents. given, PQ = 8 cm, AQ = 9 cm and PA = 7 cm, then find AC.
16 cm
17 cm
12 cm
15 cm
In the given figure, the incircle of △ABC touches the sides AB, BC and CA at the points P, Q, R respectively. Show that
AP+BQ+CR=BP+CQ+AR
=12 (Perimeter of △ABC)
[3 MARKS]
- 1cm
- 3cm
- 2cm
- 4cm
What will be the circumradius of a right angled triangle whose hypotenuse length is 10 cm?
8 cm
5 cm
4 cm
6 cm
- 3
- 4
- 1
- 2
- inside
- on
- outside
If the hypotenuse of a right-angled triangle is 13 and it's inradius is 5, then it's area = _____.
80 cm2
70 cm2
100 cm2
90 cm2
∠ACB = 90∘ and CD⊥AB. Prove that BC2AC2 = BDAD
- r
- 2r
- r2
- None of these
Find the radius of the incircle of △ABC if BC⊥AQ
4 cm
1 cm
3 cm
2 cm
In the given figure △ABC is equilateral. If IE = 4 cm , IB = ____.
8 cm
16 cm
4 cm
10 cm