Mathematics
Equation of a line AB is x + 2y + 6 = 0. A perpendicular PQ is dropped on AB from the point P(3, –2) meeting AB at Q. Find the:
(a) equation of PQ.
(b) coordinates of the point Q.
Related Questions
If a, b, c and d are in continued proportion, prove that ad(c2 + d2) = c3(b + d).
₹100 shares of a company giving 10% dividend are selling at ₹150. Mr. Saha invests ₹ 18,000 to buy these shares. He sells 80% of his shares after one year. Find :
(a) the number of shares he purchased.
(b) the number of shares he sold.
(c) his annual income from the remaining 20% shares he still holds.
Divide 20 into two parts such that the sum of their squares is 272. The larger of two parts is square of the other. Assuming the smaller part to be ‘x’, form an equation and solve it to find the two parts.
Use a graph paper for this question:
The Marks out of 80 obtained by 160 students in a Mathematics test were recorded as given in the table:
Marks No. of students 0 - 10 12 10 - 20 20 20 - 30 28 30 - 40 35 40 - 50 29 50 - 60 16 60 - 70 12 70 - 80 8 (Take 2 cm = 10 Marks on one axis and 2 cm = 20 students on the other axis).
Draw an Ogive and use it to find the following:
(a) median marks
(b) upper quartile marks
(c) number of students who scored above 65 marks
(d) the lowest marks scored by the top 30% students.