Questions asked by Nityananda

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• What is 'theeta' angle in trigonometry?
  
• If #sin x + "cosec" x = 2#, then find #sin^n x + "cosec" ^n x# ?
  
• If two circles intersect at n points, then which of the following is true ? a) #n^2##<=#9, b) #n^3##<=#17, c) 2n + 3 #<=#4, d) n - 3 = 1
  
• Find the ratio of the areas of the in-circle and circum-circle of an equilateral triangle?
  
• Find the value of #log_2[log_2{log_3(log_3 27^3)}]#?
  
• If #sina + sin^2a = 1,# then what will be# cos^2a + cos^4a #?
  
• In an triangle, AC = BC and #AC^2 = 2AB^2#, then what will be angle of C?
  
• ABCD is a trapezium whose BC parallel AD and AD = 4 cm. Diagonals AC and BD are intersected at O in such way that #[AO]/[OC] = [DO]/[OB] = 1/2#, then what is the length of BC?
  
• #If tan^4a + tan^2a = 1#, then find the value of #cos^4a + cos^2a ?#
  
• How to prove the value of cos a + sin a is greater than 1 ?
  
• Population increases R% every year and after n years the population becomes P. What was/were the population before n years?
  
• ABC is a triangle whose sides AB = 6 cm, BC = 8 cm and AC = 12 cms. D is such a point situated on AC that angle ADB = angle ABC. Find the length of BD ?
  
• ABC is a right angle triangle. AD is drawn perpendicular to BC. If BC = 9cm, BD = 4 cm then find AB?
  
• In a triangle ABC, angle ABC = 90 and BD is perpendicular to AC. If BD = 8 cm and AD = 4 cm then find the length of CD?
  
• ABCD is a cyclic quadrilateral where BC is diameter and angle ADC = 130 degree . Find the value of angle ACB?
  
• The length of the radius of two circles are 5 cm and 3 cm. The distance between their center is 13 cm. Find the length of the tangent who touches both the circles?
  
• AB is diameter whose center is O of a circle. If AC is 3 cm and BC is 4 cm, then find AB?
  
• If sec a + cos a = 5/2, then find sec a - cos a ?
  
• One of the most vivid memories of my early childhood is of the two men - Change the degree of adjectives?
  
• Why preposition 'to' is not used before the word 'home' ?
  
• Fresh fruit contain 68% of water and dry fruit contain 20% of water. Then how much dry fruits have in 100 kilograms fresh fruits?
  
• A,B and C are the 3 points on the circle and O is the centre of the circle.If <OAB is 40°, <ABC is 120°,<BCO is y° and <COA is x°. Find the value of x° and y°?
  
• If x + 1/y = a + 1/b,then show that x.x + 1/(y.y) = a.a + 1/(b.b)?