List of top Mathematics Questions on Geometry asked in Andhra Pradesh Engineering Agriculture and Medical Common Entrance Test

If H H is the orthocenter of △ABC \triangle ABC and AH=x AH = x , BH=y BH = y , CH=z CH = z , then evaluate: abcxyz \frac{abc}{xyz}
In a triangle ABC, if r:R=1:3:7 r : R = 1 : 3 : 7 , then sin⁡(A+C)+sin⁡B= \sin(A + C) + \sin B =
Find the locus of points satisfying the equation axy+byz=cy axy + byz = cy .
If a running track of 500 ft. is to be laid out enclosing a playground, the shape of which is a rectangle with a semicircle at each end, then the length of the rectangular portion such that the area of the rectangular portion is maximum is (in feet).
If a variable straight line passing through the point of intersection of the lines x - 2y + 3 = 0 and 2x - y - 1 = 0 intersects the X and Y axes at A and B respectively, then the equation of the locus of a point which divides the segment AB in the ratio -2 : 3 is:
In a triangle ABC, if (r1+r2)csc⁡2C2= (r_1 + r_2) \csc^2 \frac{C}{2} =
In a triangle ABC, if a=13,b=14,c=15 a = 13, b = 14, c = 15 , then r1= r_1 =
In ΔABC\Delta ABC if B=90∘B = 90^\circ then 2(r+R)=2(r + R) =
In a triangle ABC, if (a−b)(s−c)=(b−c)(s−a) (a-b)(s-c) = (b-c)(s-a) , then r1+r3= r_1 + r_3 = :
In △ABC \triangle ABC , given: a=26,b=30,cos⁡C=6365 a = 26, \quad b = 30, \quad \cos C = \frac{63}{65} Find c c .
If the angle θ \theta between the line x+11=y−12=z−22 \frac{x + 1}{1} = \frac{y - 1}{2} = \frac{z - 2}{2} and the plane 2x−y+λz+4=0 2x - y + \sqrt{\lambda}z + 4 = 0 is such that sin⁡θ=13 \sin \theta = \frac{1}{3} , then the value of λ \lambda is:
If the direction cosines of two lines are given by l+m+n=0andmn−2lm−2nl=0, l + m + n = 0 \quad \text{and} \quad mn - 2lm - 2nl = 0, then the acute angle between those lines is: