Class IX

The altitude AD of a ∆ABC in which ∠A is opt use, is 10 cm. If BD = 10 cm and CD =10√3 cm, then ∠A is equal to
  1. 60°
  2. 30⁰
  3. 90⁰
  4. 105⁰
If the ractangle ABCD , AB = 15 cm and ∠BAC = 60⁰ then the length of side BC is equal to
  1. 15 cm
  2. 15√2 cm
  3. 15√3 cm
  4. 15√5 cm
If sin 𝘉 =1/2 , then 3cos 𝘉 - 4cos³ 𝘉 is equal to
  1. 0
  2. 1
  3. 3/4
  4. 2(1/2)
If cot 𝛢 = 1/(√2-1), then sin 𝛢 . cos 𝛢 is equal to
  1. 1
  2. (√3)/2
  3. 2/(√3)
  4. (√2)/4
In ∆APQR,Q Is a right angle , PQ =3 and QR = 4, If ∠P = α and ∠R =𝛽 then tan𝛽 is equal to
  1. 4/3
  2. 3/4
  3. 3/5
  4. 5/3
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