A quadratic equation whose one root is 3 is
To divide a line segment AB in the ratio 5 : 7, first a ray AX is drawn so that ∠BAX is an acute angle and then at equal distances points are marked on the ray AX such that the minimum number of these points is:
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The angle of elevation of the top of a tower from a point on the ground and at a distance of 30m from its foot is 30°. The height of the tower is
A die is thrown once. The probability of getting an even number and a multiple of 3 is
The distance of the point ( -3, 4) from the origin is
The area of a circle is 38.5 sq. cm. Its circumference is
The cost of painting a cubical box of side 3m at the rate of Rs.2 per sq.m is
The value of ‘k’ for which the numbers x, 2x + k, 3x + 6 are in A.P. is
One of the roots of the quadratic equation a2x2 − 3abx + 2b2 = 0 is
The next term of the A.P. √18, √32 and √50 is
To construct a triangle similar to given ΔABC with its sides 8/5 of the corresponding sides of ΔABC, draw a ray BX such that ∠CBX is an acute angle and X is one the opposite side of A with respect to BC. The minimum number of points to be located at equal distances on ray BX is :
The length of tangent PQ, from an external point P is 24 cm. If the distance of the point P from the centre is 25 cm, then the diameter of the circle is
From a point on the ground which is 15m away from the foot of a tower, the angle of elevation is found to be 60°. The height of the tower is
One card is drawn from a well shuffled pack of 52 cards. The probability of getting an ace is
The distance between the points ( – 1, – 5) and ( – 6, 7) is
The circumference of a circle whose diameter is 4.2cm is
If the angles of a right angled triangle are in A.P. then the angles of that triangle will be
The two numbers whose sum is 27 and their product is 182 are
To divide a line segment AB in the ration 4 : 7, a ray AX is drawn first such that ∠BAX is an acute angle and then points A1,A2,A3,,…are located at equal distances on the ray AX and the point B is joined to :
A solid cylinder of radius ‘r’ and height ‘h’ is placed over other cylinder of same height and radius. The total surface area of the shape so formed is
The length of the wire is 66m. The number of circles of circumference 13.2cm can be made from the wire is
In the given figure, RQ is a tangent to the circle with centre O. If SQ = 6 cm and OR = 4 cm, then OR is equal to
A box contains 3 blue balls, 2 white balls and 4 red balls. If a ball is drawn at random from the box, the probability of getting a white ball is
From a point P on the level ground, the angle of elevation of the top of a tower is 30°. If the tower is 100m high, the distance between P and the foot of the tower is
The distance between the points (a, b) and ( – a, b) is
The common root of 2x2 + x − 6=0 and x2 − 3x − 10=0 is
The list of numbers – 10, – 6, – 2, 2, ……….. is
To divide a line segment AB in the ration 2 : 5, first a ray AX is drawn, so that ∠BAX is an acute angle and then at equal distances points are marked on the ray such that the minimum number of these points is :
If two solid hemispheres of same base radius ‘x’ cm are joined together along their bases, then the CSA of the new solid formed is