A square of side a lies above the x-axis and has one vertex at the origin. The side…
Mathematics · JEE Main · NTA Exams — Co-ordinate Geometry
A square of side a lies above the x-axis and has one vertex at the origin. The side passing through the origin makes an angle \(\alpha\left(0<\alpha<\frac{\pi}{4}\right)\) with the positive direction of x-axis. The equation of its diagonal not passing through the origin is
- y (cos α – sin α) – x (sin α – cos α) = a
- y (cos α + sin α) + x (sin α – cos α) = a
- y (cos α + sin α) + x (sin α + cos α) = a
- y (cos α + sin α) + x (cos α – sin α) = a
Answer
(D) y (cos α + sin α ) + x (cos α – sin α ) = a
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- The equation of a tangent to the circle x 2 + y 2 = 25 passing through (–2, 11) is
- The equation of a circle which passes through the three points (3, 0), (1, –6), (4, –1) is-
- Let the length of the latus rectum of an ellipse with its major axis along x-axis and centre at the origin…
- If the line y =x +3 meets the circle x 2 + y 2 = a 2 at A and B, then the equation of the circle having AB as…
- If the eccentricity of the standard hyperbola passing through the point (4, 6) is 2, then the equation of the…
- The range of values of θ ∈ [0, 2π] for which (1 + cos θ, sin θ) is on interior points of the circle x 2 + y 2…
- The equation of a line parallel to ax + by + c = 0 and passing through the point (c, d) is
- The length of the latus-rectum of the parabola x = ay 2 + by + c is
More Co-ordinate Geometry questions · Browse all practice questions