If xsin³ θ + ycos³ θ = sin θ cos θ and xsin θ – ycos θ = 0, then the value of x² + y² equals

The value of the expression (1+sec22⁰ + cot 68⁰)(1-cosec22⁰ + tan68⁰) is

B₁ is a point on the side AC of Δ ABC and B₁B is joined. A line is drawn through A parallel to B₁B meeting BC at A₁ and another line is drawn through C parallel to B₁B meeting AB produced at C₁. Then

O is the circumcentre of the isosceles ΔABC. Given that AB=AC=17 cm and BC = 6cm. The radius of the circle is 

If D and E are the mid points of AB and AC respectively of  Δ ABC, then the ratio of the areas of ADE and BCED IS

ABC is an isosceles triangle where AB = AC which is circumscribed about a circle. If P is the point where the circle touches the side BC, then which of the following is true