Let OAB be a regular triangle with side length unity (O being the origin), Also M,N are the trisection of AB, M being closer to A and N closer to B. Position vectors of A, B, M and N are `hata, hatb, hatm, hatn` respectively Which of the following hold(s) good?

Let DeltaOAB be an equilateral triangle with side length unity (O being the origin). Also, M and N being closer to A and N being clower to B. position vectors of A, B, M and N are veca, vecb, vecm and vecn respectively, then the value of vecm.vecn is equal to

A,B,C,M are four points on a circle such that ABC forms an equilateral triangle and M lies on the are BC as in the figure.which of the following holds good?

Let m=tan3 and n=sec6 then which which of the following statements do not hold true

A line x+3y=12 cuts the xa n dy axis in Aa n dB respectively. If Pa n dQ being the points of trisection of A B(P being closer to A) and m_1,m_2 are the slope of the lines O P and O Q respectively (' O ' is the origin), then m_2=2m_1 (b) m_2=3m_1 m_2=4m_1 (d) m_2=5m_1

Let a = b (mod n), a'= b' (mod n) and d, m in N. Then which of the following need not be true?

If M + N means M is brother of N, M/N means M is father of N and M x N means M is sister of N. Which of the following means A is uncle of B ?

The line x+y=a meets the axes of x and y at A and B respectively. A triangle AMN is inscribed in the triangle OAB , O being the origin, with right angle at N, M and N lie respectively on OB and AB. If the area of the triangle AMN is 3/8 of the area of the triangle OAB , then (AN)/(BM) is equal to:

The line x + y = p meets the axis of x and y at A and B respectively. A triangle APQ is inscribed in the triangle OAB, O being the origin, with right angle at Q, P and Q lie respectively on OB and AB. If the area of the triangle APQ is 3//8^(th) of the area of the triangle OAB, then (AQ)/(BQ) is equal to