Question
Find the Perpendicular distance between two lines
6x + 8y = 18, 12x + 16y =20Solution
For finding the perpendicular distance between two lines ax + by = C1, ax + by = C2 Coefficients must be equal then Perpendicular Distance = |C1-C2|/√(a2 + b2) 6x + 8y = 18 …………(i) 12x + 16y =20…………..(ii) Multiplying equation (i) with 2 12x + 16y =36 Now the Perpendicular Distance = |36-20|/√(12² + 16²) = 16/20 = 0.8
Anoop' initiated a Canteen Business by investing Rs. 15,000. 't' months later, 'Arvind' joined him with an investment of Rs. 10,000. After 4 months of j...
P started a business with an investment of Rs.12000, after 8 months Q joined him with Rs.15000 and after another 8 months R joined them with Rs. 20000. ...
Aman and Bhavya started a business together. Aman invested Rs. 400 more than Bhavya. Aman pulled out his money after 4 months, while Bhavya kept her inv...
A and B enter into a partnership with their initial sum of Rs.30000 and Rs.48000 respectively. After 6 months, a third person C also joins them with his...
Sonia and Isha started a business with investments of Rs. 3100 and Rs. 2300, respectively. Four months into the business, Jai joined them with an invest...
A, B and C hired a taxi for Rs. 760 and used it for 4, 5, 10 hours respectively. Hiring charges paid by B are:
A and B started a retail store with initial investments in the ratio 6:7 and their annual profits were in the ratio 4:5. If A invested the money for 7 m...
‘A’ and ‘B’ started a business by investing Rs. 12000 and Rs. 18000, respectively. 6 months later, ‘C’ joined them with an investment equal ...
Two firms, X and Y, began a joint venture by investing in a ratio of 9:16. After six months, Firm Y withdrew its entire investment. At the end of the ye...
If a sum of money is to be divided among A, B, C such that A’s share is equal to thrice B’s share and B’s share is 8 times C’s share then their ...
Relevant for Exams:
