EASY
Earn 100

A point has no shape.

50% studentsanswered this correctly

Important Questions on Lines and Angles

MEDIUM
The perimeter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square.
MEDIUM
Side AB of a triangle ABC is 80 cm long, whose perimeter is 170 cm. If angle ABC=60°, the shortest side of triangle ABC measures (in cm):
EASY
A unique circle can always be drawn through x number of the given non-collinear points, then x must be:
MEDIUM
A circle touches the side BC of ABC at D and AB and AC are produced and the circle is touching it at E and F, respectively.If AB=10 cm, AC=8.6 cm and BC=6.4 cm, then BE=?
MEDIUM

In PQR, Q>R, PS is the bisector of P, and PTQR. If SPT=28° and R=23°, then the measure of Q is:

EASY
The ratio between a base angle and a vertical angle of an isosceles triangle (base angles being equal) is 2:5. The vertical angle is _____.
EASY
ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ADC = 140°. Then BAC is equal to_____.
MEDIUM
PA and PB are two tangents to a circle with centre O, from a point P outside the circle. A and B are points on the circle. IfAPB=100° , then OAB is equal to_____.
HARD
The bisector of A in ABC meets BC in D. If AB=15 cm, AC=13 cm and BC=14 cm, then DC=?
MEDIUM
ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and angle ADC=144°. Then angle BAC is equal to: π=227
MEDIUM
In a circle with centre O, ABCD is a cyclic quadrilateral and AC is the diameter. Chords AB and CD ae produced to meet at E.If CAE=34° and E=30°, then CBD is equal to:
MEDIUM
The sides PQ and PR of PQR are produced to points S and T, respectively. The bisectors of SQR and TRQ meet at U. If QUR=59°, then the measure of P is _____.
MEDIUM
If in PQR, P=124°, PSQR at S and PQ+QS=SR, then the measure of Q is:
MEDIUM

Question Image

In the triangle given above, ADB=90o, ABC=45o, AD=10 cm, AC=20 cm. The length of BC is:

MEDIUM
PA and PB are tangents to a circle with centre O, from a point P outside the circle. A and B are points on the circle. If OAB=20°, then APB is equal to:
HARD
PA and PB are two tangents to a circle with centre O, from a point P outside the circle. A and B are points on the circle. If PAB=47°, then OAB is equal to:
MEDIUM
ABCD is a cyclic quadrilateral such that AB is the diameter of the circle circumscribing it and ADC=155°, then what is the measure of BAC ?
MEDIUM
Two parallel chords on the same side of the centre of a circle are 12 cm and 20 cm long and the radius of the circle is 513 cm. What is the distance (in cm) between the chords?
MEDIUM
In ABCAB and AC are produced to points D and E, respectively. If the bisectors of CBD and BCE meet at the point O, and BOC=57°, then A is equal to _____.
MEDIUM

In ABC, AD is the median and G is a point on AD such that AG:GD=2:1. Then area (BDG):area (ABC) is equal to: