Mathematics

CBSE Class 10

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1.

The probability of selecting a rotten apple randomly from a heap of 900 apples is 0.18. What is the number of rotten apples in the heap?

2.

If a tower 30 m high, casts a shadow 10 3m long on the ground, then what is the angle of elevation of the sun?

3.

If the angle between two tangents drawn from an external point P to a circle of radius a and centre O, is 60°, then find the length of OP.

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6.

Prove that the tangents drawn at the end points of a chord of a circle make equal angles with the chord.

7.

A line intersects the y-axis and x-axis at the points P and Q respectively. If (2, -5) is the mid-point of PQ, then find the coordinates of P and Q.

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9.

Find the value of p, for which one root of the quadratic equation px^{2} – 14x + 8= 0 is 6 times the other.

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Textbook Solutions | Additional Questions