Welcome to your Geometry(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. In the diagram given below, ∠ABD = ∠CDB = ∠PQD = 90° . If AB:CD = 3:1, the ratio of CD: PQ is1:0.691 :0.751: 0.720.5 : 12. The size of each interior angle of a regular polygon with n sides is 160°. The value of n is141218163. In the figure (not drawn to scale) given below, P is a point on AB such that AP : PB = 4 : 3. PQ is parallel to AC and QD is parallel to CP. In ΔARCΔARC, ∠ARC =90^{0} and in ΔPQSΔPQS, ∠PSQ =90^{0}The length of QS is 6 cm. What is the ratio of AP : PD?7:32:310:38:34. Three horses are grazing within a semi-circular field. In the diagram given below, AB is the diameter of the semi-circular field with center at O. Horses are tied up at P, R and S such that PO and RO are the radii of semi-circles with centers at P and R respectively, and S is the center of the circle touching the two semi-circles with diameters AO and OB. The horses tied at P and R can graze within the respective semi-circles and the horse tied at S can graze within the circle centred at S. The percentage of the area of the semi-circle with diameter AB that cannot be grazed by the horses is nearest to364020285. AB is a chord of a circle. AB = 5 cm. A tangent parallel to AB touches the minor arc AB at E.What is the radius of the circle?A. AB is not a diameter of the circle.B. The distance between AB and the tangent at E is 5 cm.The question cannot be answered even by using both the statements together.The question can be answered by one of the statements alone but not by the other.The question can be answered by using either statement alone.The question can be answered by using both the statements together, but cannot be answered by using either statement alone.6. Four of five interior angles of a pentagon are equal. If the size of the fifth angle is 80°, then the size of each of the four equal angles is100 degrees120 degrees136 degrees115 degrees7. An equilateral triangle BPC is drawn inside a square ABCD. What is the value of the angle APD in degrees?13575150908. Which of the following is not an exterior angle of a regular polygon?18 degrees21 degrees15 degrees24 degrees9. In the above diagram, ∠ABC=90∘=∠DCH=∠DOE=∠EHK=∠FKL=∠GLM=∠LMN∠ABC=90∘=∠DCH=∠DOE=∠EHK=∠FKL=∠GLM=∠LMNAB = BC = 2CH = 2CD = EH = FK = 2HK = 4KL = 2LM = MNThe magnitude of ∠FGO =30°45°60°none of the above10. A point X is equidistant from two fixed points P and Q. The locus of X is theparallel lines to PQ on either side of line PQparallel line to line PQperpendicular bisector of line PQperpendicular to the line PQ11. The vertices of the inscribed (inside) square bisect the sides of the second (outside) square. Find the ratio of the area of the outside square to the area of the inscribed square.2:12:31:41:312. On a semicircle with diameter AD, chord BC is parallel to the diameter. Further, each of the chords AB and CD has length 2, while AD has length 8. What is the length of BC?15757513. In a triangle ABC, the lengths of the sides AB and AC equal 17.5 cm and 9 cm respectively. Let D be a point on the line segment BC such that AD is perpendicular to BC. If AD = 3 cm, then what is the radius (in cm) of the circle circumscribing the triangle ABC?455852514. Two circles, both of radii 1 cm, intersect such that the circumference of each one passes through the centre of the other. What is the area (in sq. cm.) of the intersecting region?2π/3 - √3/24π/3 - √3/4π/3 - √3/4π/3 - 2/315. ABC is a right triangle with the size of angle ACB equal to 74 degrees. The lengths of the sides AM, MQ and QP are all equal. Find the measure of angle QPB.135°35°94°148°16. In the figure below (not drawn to scale), rectangle ABCD is inscribed in the circle with centre at O. The length of side AB is greater than side BC. The ratio of the area of the circle to the area of the rectangle ABCD is π:3">π:√3π:3 . The line segment DE intersects AB at E such that ∠ODC =∠ The ratio AE : AD is1:21:2√31:√21:√317. The interior angles of a polygon add up tp 1980°. How many sides has the polygon?1015131218. There are two concentric circles such that the area of the outer circle is four times the area of the inner circle. Let A, B and C be three distinct points on the perimeter of the outer circle such that AB and AC are tangents to the inner circle. If the area of the outer circle is 12 square centimeters then the area (in square centimeters) of the triangle ABC would beπ129/π9√3/π6√3/π19. A piece of paper is in the shape of a right-angled triangle and is cut along a line that is parallel to the hypotenuse, leaving a smaller triangle. There was 35% reduction in the length of the hypotenuse of the triangle. If the area of the original triangle was 34 square inches before the cut, what is the area (in square inches) of the smaller triangle?14.36516.56516.66515.46520. The length of the common chord of two circles of radii 15 cm and 20 cm, whose centres are 25 cm apart, is15 cm20 cm25 cm24 cm21. A point P moves such that it is always equidistant from two fixed points X and Y. When /XY/ is 12 cm and P is 8 cm from /XY/, the distance of P from Y is20 cm8 cm12 cm10 cm22. In the above figure, ACB is a right-angled triangle. CD is the altitude. Circles are inscribed within the ΔACDΔACD and ΔBCDΔBCD. P and Q are the centres of the circles. The distance PQ is 785√5023. A point K moves on one side of a straight line /LM/ such that <LKM = 90°. The locus of K iscirclea right angled trianglean arc of a circlesemi circle24. In the figure below triangle OAB has an area of 72 and triangle ODC has an area of 288. Find x and y, respectively.9, 4320, 1412, 3423, 4325. PQRS is a cyclic quadrilateral and the diagonals PR and QS intersect at T. If <SPR = 47° and <PTQ = 98°,calculate <PRQ47 degrees51 degrees94 degrees145 degrees26 out of 25Time is Up!