SSC CHSL 202151)In a circle, two chords UV and WX intersect each other at a point Z within the circle. If UV = 18 cm, ZV = 6 cm and WZ = 9 cm, then the length of ZX is:
8 cm
SSC CHSL 202152)In triangle ABC, AD is the internal bisector of \(\angle A\) meeting BC at D. If BD = 3.6 cm and BC = 8 cm, then the ratio of AB to AC will be:
9 ∶ 11
SSC CHSL 202153)ABC is a triangle inscribed in a circle and ∠ACB is equal to 35°. P is a point on the circle on the side AB, opposite to C. What is the value of ∠APB in degrees?
145
SSC CHSL 202154)In Δ ABC, points D and E are on AB and AC, respectively, such that DE is parallel to BC. IE AD = 3 cm, BD = 6 cm and AE = 2 cm, then find the length of CE.
4 cm
SSC CHSL 202155)If S is a point on side QR of a triangle PQR such that QS = 10 cm, QR = 18 cm and ∠PSR = ∠QPR, then the length of PR will be:
12 cm
SSC CHSL 202156)In any triangle, if the angles are in the ratio 1 : 2 : 3, then what will be the ratio of the sides opposite to them?
1 : √3 : 2
SSC CHSL 202157)The sides of a triangle are in the ratio \(\frac{1}{3},\frac{1}{5},\frac{1}{4}\) and its perimeter is 141 cm. The difference between the greatest side and the smallest side is:
24 cm
SSC CHSL 202158)In ΔPQR, QT ⊥ PR and S is a point on QR such that ∠PSQ = p°. If ∠TQR = 44° and ∠SPR = 32°, then the value of p is:
78°
SSC CHSL 202159)The sides AB, BC and AC of ΔABC are 12 cm, 8 cm and 10 cm, respectively. A circle is inscribed in the triangle touching AB, BC and AC at D, E and F, respectively. The ratio of the lengths of AD to CE is:
7 ∶ 3
SSC CHSL 202160)If O is the centroid and RP is the median with length 24 cm of Δ RST , where P is a point on ST, then the value of RO is:
16 cm