If a perpendicular drawn from an obtuse –angled vertex of a rhombus to the opposite side bisects the side ,find all the angles of the rhombus.

Solution: Let the minimum length of the shortest side be x. Then the longest side of a triangle is 3x and the third side is 3x – 2. Perimeter of the triangle ≥ 61 x +...

Solution: Let the length of the shorter side be x metres. Thus the length of the longer side=(x+30) m Length of the diagonal=(x+60)m Each angle of a rectangle=90 degrees By Pythagoras Theorem, (diagonal)2=(shorter side)2+(longer side)2 (x+60)2 ...

Suppose the measures of four angles are 3x, 5x, 9x and 13x.  ∴ 3x + 5x + 9x + 13x = 360° [Angle sum property of a quadrilateral]  ⇒ 30x = 360°  ⇒...

Solution: Opposite angles of a parallelogram are always add upto 180°. So, 180°= 3x + 2x Or, 5x = 180° Or, x = 36° So, angles are; 36° x 3 = 108° And 36° x 2...

Solution: 90°, as they add up to 180°

Out of 52 cards, one card can be drawn in 52 ways. So, total number of elementary events = 52 (i) There are four ace cards in a pack of 52 cards. So,...

Number of kings and queen in a deck of 52 cards = 8 P( either a king or a queen) = 8/52 = 2/13 P(neither a king nor a queen) = 1-2/13...

(c) is perpendicular to the acceleration for one instant only Explanation: In projectile motion, velocity is perpendicular to acceleration only at the highest point. Here, velocity is along the horizontal direction and...

(c) : From a property of the parabola, the perpendicular tangents intersect at the directrix. The equation of directrix is x = –1, hence this is the locus of point...