Answers edited by Zsigmond S.

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• ABCD is a quadrilateral. Show that #vec(AB)+vec(AD)+vec(CB)+vec(CD)=4vec(PQ)# where P and Q are the mid points of AC and BD respectively?
  
• How do you find the inverse of #A=##((4, -2, 1), (3, 1, 2), (1, 2, 2))#?
  
• Circle Geometry Question?
  
• M and N are the middle points of diagonals BD and AC respectively of a trapezium ABCD where AD is parallel to BC. Prove by vector method that #vec(MN)=1/2*(vec(BC)-vec(AD)).?
  
• Please solve q 37?
  
• We have a trapeze ABCD AD=big base, BC= little base m(<BAC)= a , sin a= 1/3 and m(<ABD)=b and sin b= 5/9 and AD= 15 cm Trapeze ABCD is enrolled in a circle .FInd the midle line?
  
• Prove that: cos pi/12-sin pi/12=1/root 2.What should be the answer for this question?
  
• A circle through the common points of the circles x^2+y^2-2x-4y+1=0 and x^2+y^2+2x-6y+1=0 has the centre on the line 4y-7x-19=0.find the centre and radius of the circle?
  
• Find the value of (sin 24° cos 6°-sin 6° sin 66°)/(sin 21° cos 39°- cos 51° sin 69°)?
  
• A right angled triangle is formed in first quadrant by a line passing through (2,1) at the X-intercept (a,0) and Y-intercept (0,b). Calculate the area of the triangle as function of "x"?
  
• Question #cfa4d
  
• What is EB?
  
• 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°?