If  then the value of  is

If a² + b²  + c² = 2 (a - b - c) - 3,  then the value of 2a - 3b + 4c is

• 3

• 1

• 2

• 4

If  then the value of  is

124.

If  then the value of  is

• 

• 

• 

• 

The area of the triangle formed by the lines 5x + 7y = 35,   4x + 3y = 12 and x-axis is

• 160/13 sq units

• 150/13 sq units

• 140/13 sq units

• 10 sq units

In an obtuse-angled triangle ABC, ∠A is the obtuse angle and O is the orthocentre. If ∠BOC = 54°, then ∠BAC is

• 108°

• 126°

• 136°

• 116°

If the ratio of area of two similar triangles is 9 : 16, then the ratio of their corresponding sides is

• 3 : 5

• 3 : 4

• 4 : 5

• 4 : 3

Let BE and CF be the two medians of a Δ ABC and G be their intersection. Also let EF cut AG at O. Then, AO : OG is

• 1 : 1

• 1 : 2

• 2 : 1

• 3 : 1

If S is the circumcentre of Δ ABC and ∠A = 50° then the value of ∠BCS is

• 20°

• 40°

• 60°

• 80°

AC and BC are two equal chords of a circle. BA is produced to any point P and CP, when joined cuts the circle at T. Then, 

• CT : TP  = AB : CA

• CT : TP  = CA : AB

• CT : CB  = CA : CP

• CT : CB  = CP : CA