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L be a line 2x+y=2 .If the axes are rotated by 45 degrees then find the intercepts made by the line on the new axes.
Given that equation 2x + y = 2 is a straight line. when the axes are rotated by 450 the the line on new axes become y = x therefore the intercept of x =...
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If a perpendicular drawn from an obtuse –angled vertex of a rhombus to the opposite side bisects the side ,find all the angles of the rhombus.
Let the acute angle be A and obtuse angle be B. Rhombus ABCD, and angle A = angle C = acute angles. The perpendicular from B to AD be BE. Now in ÎABE,...
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In Question 4, point C is called a mid-point of line segment AB. Prove that every line segment has one and only one mid-point
Let there be two such mid points C and D. Then from above theorem AC = 1 /2 AB and AD = 1 /2 AB ∴ AC = AD But this is possible only...
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Name the quadrilateral whose diagonals: (a) Bisect each other. (b) Are perpendicular bisectors of each other. (c) Are equal.
Answer: Rhombus; because, in a square or rectangle diagonals don’t intersect at right angles.
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(a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks.
(a) An electrostatic field line is a continuous curve because a charge experiences a continuous force when traced in an electrostatic field. The field line cannot have sudden breaks because...
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A 3.0 cm wire carrying a current of 10 A is placed inside a solenoid perpendicular
Length of the wire, l = 3 cm = 0.03 m Current flowing in the wire, I = 10 A Magnetic field, B = 0.27 T Angle between the current and magnetic field,...
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Show that the line through the points (1, −1, 2) (3, 4, −2) is perpendicular to the line through the points (0, 3, 2) and (3, 5, 6).
Let AB be the line joining the points, (1, −1, 2) and (3, 4, − 2), and CD be the line joining the points, (0, 3, 2) and (3, 5,...
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Show that the line joining the origin to the point (2, 1, 1) is perpendicular to the line determined by the points (3, 5, −1), (4, 3, −1).
Let OA be the line joining the origin, O (0, 0, 0), and the point, A (2, 1, 1). Also, let BC be the line joining the points, B (3, 5,...
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In a projectile motion the velocity (a) is always perpendicular to the acceleration (b) is never perpendicular to the acceleration
(c) is perpendicular to the acceleration for one instant only Explanation: In projectile motion, velocity is perpendicular to acceleration only at the highest point. Here, velocity is along the horizontal direction and...
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The moment of inertia of a uniform semicircular wire of mass M and radius r about a line perpendicular to the plane of the wire through the centre is
(a) Mr2 Explanation: Since the mass of the wire is at a distance r away from the axis. Hence the option (a).
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