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If α and β are the two roots of the equation 2x2-7x-3=0, then find the value of (α+2)(β+2)
If the quality is satisfied by x, then the value of x will be
A bicycle wheel makes 500 revolutions in moving 1.1 km. The diameter of the wheel is
Let PQR be a right angled isosceles triangle right angled at P (2, 1). If the eqaution of the line QR is 2x + y = 3, then the equation representing the pair of lines PQ and PR is
Diagonals of a rhombus are in the ratio 3:4 and its area is 2400 cm2. Side of the rhombus is
The mean of 30 values was 150. It was detected on rechecking that one value 165 was wrongly copied as 135 for the computation of the mean. Find the correct mean.
Chord AB of a circle radius 28 cm subtends an angle of 90º at the centre of the cirlce. The area of the major segment is .... (use π = 3.14)
A publisher supplies books to a bookseller at 20% discount on the list price of Rs. 1574.80. If the book seller sells books at list price and if his expenses for frieght etc. are Rs. 45.40, determine his profit.
If ABCD is a cyclic quadrilateral in which ∠DAC=27°, ∠DBA=50° and ∠ADB=33°, then ∠CAB is equal to :
If P, Q, R and S are the mid-points of sides AB, BC, CD and DA respectively of quadrilateral. ABCD, E, F, G and H are the mid-points of sides PQ, OR, RS and SP of quadrilateral PQRS and area of ∆HGF = 9 sq. units then area of quaqdrilateral ABCD is
A boy read 3/8th of the book on one day and 4/5th of the remainder on another day. If there were 30 pages unread, then how many pages did the book contain?
Circles, C(O,5 cm) and C(O,3cm) are two concentric circles. PQ is a chord of the larger circle and is a tangent to the smaller circle at R. Then the measure of ∠ORP is
Angles of a triangle have measures (x + 40)°, (2x + 20)° and (3x)°. The triangle is
If the side of a triangle are 13, 14, 15, then the radius of the incircle is