, Avg: 01:31 , 50%✓ SSC CHSL 202131)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
, Avg: 01:03 , 100%✓ SSC CHSL 202132)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
, Avg: 00:47 , 66%✓ SSC CHSL 202133)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
, Avg: 03:09 , 33%✓ SSC CHSL 202134)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
, Avg: 00:41 , 100%✓ SSC CHSL 202135)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
, Avg: 01:08 , 33%✓ SSC CHSL 202136)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
, Avg: 01:04 , 66%✓ SSC CHSL 202137)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°
, Avg: 01:26 , 50%✓ SSC CHSL 202138)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
, Avg: 00:44 , 100%✓ SSC CHSL 202139)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
SSC CHSL 202140)If Δ ABC∼Δ QPR,\( \rm \frac{ar(\Delta ABC)}{ar(\Delta PQR)}=\frac{4}{9}\), AC = 12 cm, AB = 18 cm and BC = 10 cm, then PR (in cm) is equal to:
15