Simplification Questions

• The value of sec217°-1tan273°-sin17°sec73°
• If x=aCosθCosΦ, y = aCosθSinΦ and z= aSinθ, then the value of x2+ y2 + z2 is
• A 1.6 m tall observer is 45 meters away from a tower. The angle of elevation from his eye to the top of the tower is 30°, then the height of the tower in meters is
• A spherical lead ball of radius 6 cm is melted and small lead balls of radius 3 mm are made. The total number of possible small lead balls is
• If x2+5x+6 = 0 , then the value of 2xx2-7x+6 is
• If a+b=5 and ab=3, then the value of (a2+b2) is
• A 8 cm long perpendicular is drawn from the centre of a circle to a 12 cm long chord. The diameter of the circle is
• If x = a + 1/a, y = a - 1/a, then the value of x4+y4-2x2y2
• If 2x+4-2x+2=3 , then the value of x?
• If 3n = 2187 , then the value of n is:
• If x+1x=5, then 6xx2+x+1 value is
• If sinA + sin2A =1 then what is the value of cos2A + cos4A
• A man spends in 8 months as much as he earns in 6 months. He saves Rs. 6000 in a year. His average monthly income is
• If a = √2 + 1 and b = √2 - 1, then the value of 1a+1+1b+1 will be
• If 3x+22x+1 = a2x+1+bx+2 be an identity, then the value of b
• D and E are the points on the sides AB and AC respectively of a ΔABC and AD = 8 cm, DB = 12 cm, AE= 6 cm and EC = 9 cm, then BC is equal to:
• A, B and C can finish a job working alone in 72, 24 and 36 days respectively. In how many days they can finish the job if they worked together?
• If [7(5x/3 - 3/2)]/2 + 3/2 = 1/4, then what is the value of x?
• If a3 + b3 = 19 and ab = -6 , then what is the value of a + b?
• What is the sum of the first 12 terms of an arithmetic progression if the 3rd term is -13 and the 6th term is -4?