In an acute angled triangle `ABC, A A_(1)` and `A A_(2)` are the medians and altitudes respectively. Length `A_(1) A_(2)` is equal to

If A_(1),A_(2) are between two numbers, then (A_(1)+A_(2))/(H_(1)+H_(2)) is equal to

If a_(1),a_(2),a_(3) are the last three digits of 17^(256) respectively then the value of a_(2)-a_(1)-a_(3) is equal

Let points A_(1), A_(2) and A_(3) lie on the parabola y^(2)=8x. If triangle A_(1)A_(2)A_(3) is an equilateral triangle and normals at points A_(1), A_(2) and A_(3) on this parabola meet at the point (h, 0). Then the value of h I s

Let ABC and AB'C be two non-congruent triangles with sides BC=B'C=5, AC=6, and angleA is fixed. If A_(1) and A_(2) are the area of the two triangles ABC and AB'C, then the value of (A_(1)^(2)+A_(2)^(2)-2A_(1)A_(2)cos 2A)/((A_(1)+A_(2))^(2)) is

If a_(1),a_(2),...a_(n) are in H.P then the expression a_(1)a_(2)+a_(2)a_(3)+...+a_(n-1)a_(n) is equal to

The corresponding medians of two similar triangles are in the ratio 4 : 7 . Let their respective areas be A_(1) and A_(2)*A_(1) : A_(2)= …… .

Delta=|[a_(1),b_(1)],[a_(2),b_(2)]| and A_(1),B_(1),A_(2),B_(2) are cofactor of a_(1),b_(1),a_(2),b_(2) respectively then , |[A_(1),B_(1)],[A_(2),B_(2)]| has value equal to