A straight line forms a right angled triangle with the axes of coordinates . If the hypotenuse is 13 unit and the area of the triangle is 30 square unit , find the equation of the straight line.
Text Solution
Verified by Experts
The correct Answer is:
`5x+12y=60`
Topper's Solved these Questions
STRAIGHT LINE
CHHAYA PUBLICATION|Exercise EXERCISE 2A (Multiple Choice Type Questions)|20 Videos
STRAIGHT LINE
CHHAYA PUBLICATION|Exercise EXERCISE 2A(Very Short Answer Type Questions)|14 Videos
MATHEMATICAL INDUCTION
CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams|20 Videos
Similar Questions
Explore conceptually related problems
A straight line forms a right angled triangle with the axes of coordinates . If the hypotenuse is 10 unit and the area of the triangle is 24 square unit , find the equation of the straight line.
A straight line form a right angled triangle with the axes. If the length of hypotenus and area of this triangle are 13 unit and 30 sq unit, find the equation of this straight line.
Find the area of the trangle formed by the axes of coordinates and the straight line 2x+3y=6
The inclination of a straight line is 150^(@) , if the perpendicular distance of the line from the origin is 10 units , find the equation of the straight line .
The length of the hypotenuse of a right angled triangle is a Find the lenghts of its other sides , so that the area of the triangle is maximum.
Equilateral triangles are drawn on the three sides of a right angled triangle. Show that the area of the triangle on the hypotenuse is equal to the sum of the areas of triangles on the other two sides.
Two medians drawn from the acute angles of a right angled triangle intersect at an angle pi/6. If the length of the hypotenuse of the triangle is 3 units, then the area of the triangle (in sq. units) is (a) sqrt3 (b) 3 (c) sqrt2 (d) 9
The inradius in a right angled triangle with integer sides is r If r = 5, the greatest area (in sq. units) is
In a right-angled triangle, the area of a square drawn on the hypotenuse is equal to the "…..............." of the areas of the squares drawn on other two sides.
CHHAYA PUBLICATION-STRAIGHT LINE-Sample Questions for Competitive Exams (Assertion-Reason Type)