Two plane mirrors are inclined at angles of 30º, 40°, 50° and 60°, turn by turn. At which angle of the mirrors, there would be the maximum number of images?
Two thin convex lenses of focal lengths 10 cm and 20 cm are placed in contact. Then effective power of the combination is :
A convex lens is made of a material having refractive index 1.2. If it is dipped into water (μ = 1.33), it will behave like :
Three resistance each of 8 are connected to form a triangle. The resistance between any two terminals is :
How will the reading in the ammeter A be affected if another identical bulb Q is connected in parallel to P? (Figure). The voltage in the mains is maintained at a constant value, then :
Which of the following depicts an example of endothermic process ?
A dilute solution of sodium carbonate was added to two test tubes one containing dil HCl (A) and the other containing dilute NaOH (B).The correct observation was :
Addition of dilute HCl to separate samples containing magnesium (Mg), zinc (Zn) and lead
(Pb) results in formation of bubbles. The order of rate of formation of bubbles will be -
Which of the following remains unchanged on descending a group in the periodic table :
A ladder of 15 m length reaches a window of a house which is 12 m above the ground on one side of the street. Keeping the foot of the ladder at the same point it is turned to the other side of the street and now it reaches the window of some other house which is 9 m high. The width of street is :
In the following figure AE perpendicular to BC, D is the midpoint of BC, then x is equal to
Two circles touch each other internally. Their radii are 4cm and 6cm. The length of the largest chord of the outer circle, if this chord lies outside the smaller circle will be :
What must be added to 8x4 14x3 – 2x2 7x – 8 so that the resulting polynomial is exactly divisible by 4x2 3x –2.
If the mid-point of the line segment joining the points (–7, 14) and (k,4) is (a, b) where 2a 3b = 5, then the value of k will be :
If sin x sin2x = 1, then the value of cos12x 3 cos10x 3 cos8x cos6x –1 is :
l1, l2, l3 are three distinct non-concurrent lines in a plane with no two of them parallel. The number of circles for which all of l1, l2, and l3 are tangents is :
In the figure, ABC is a right angled triangle with = 90�, BC = 21 cm and AB = 28 cm. With AC as diameter of a semicircle and with BC as radius, a quater circle is drawn. Find the area of the shaded portion (Approximately)
Find the area of the triangle whose vertices are (a, b c), (a, b – c) and (– a, c).
The sum of the first n terms of the arithmetic progression is equal to half the sum of the next n terms of the same progression. Find the ratio of the sum of the first 3n terms of the progression to the sum of its first n terms.
Let S be the set of integers x such that :
(i) 100 < x < 200
(ii) x is odd
(iii) x is divisible by 3 but not by 7
How many elements does S contain
A rectangle contains three circles as shown in the diagram touches and to each other. If the width of the rectangle is 4 unit then the length of the rectangle is :
In which part of chloroplast light reaction of photosynthesis occurs ?