Question 3 point P is the midpoint of seg CD if CP=2.5,find l(CD)

Question : Two chords AB and CD of a circle meet inside the circle at point P. If AP = 12 cm, AB = 20 cm, and CP = 16 cm,  find CD.

Option 1: 22 cm

Option 2: 15 cm

Option 3: 21 cm

Option 4: 24 cm

Question : The point P is the midpoint of the segment AB. The coordinates of point P are (2, 1) and that of point A are (11, 5). The coordinates of point B are:

Option 1: (–7, –3)

Option 2: (6.5, 3)

Option 3: (7, 3)

Option 4: (–6.5, –3)

Question : The two specific heats of gases are related by :

Option 1: Cp + Cv = RJ

Option 2: Cp - Cv = R/J

Option 3: Cp - Cv =RJ

Option 4: Cp /Cv = R

Question : In $\Delta ABC,\angle BAC=90^{\circ}$ and D is the mid-point of BC. Then which of the following relations is true?

Option 1: $AD=BD=CD$

Option 2: $AD=BD=2CD$

Option 3: $AD=2BD=CD$

Option 4: $2AD=BD=CD$

Question : Two chords of a circle, $\overline{\mathrm{AB}}$ and $\overline{\mathrm{CD}}$, meet outside the circle at the point $\mathrm{P}$. If $\mathrm{m}(\overline{\mathrm{AP}})=200 \mathrm{~mm}, \mathrm{~m}(\overline{\mathrm{AB}})$ $=120 \mathrm{~mm}$, and $\mathrm{m}(\mathrm{CP}) = 160 \mathrm{~mm}$, what is the length of $\mathrm{CD}$?

Option 1: 100 mm

Option 2: 75 mm

Option 3: 60 mm

Option 4: 150 mm