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CBSE Class 10 Mathematics Solved Question Paper 2017

Short Answer Type

The ratio of the height of a tower and the length of its shadow on the ground is √3:1. What is the angle of elevation of the sun?

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Volume and surface area of a solid hemisphere are numerically equal. What is the diameter of the hemisphere?

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3.
If the distance between the points (4, k) and (1, 0) is 5, then what can be the possible values of k?

Let the points X (4,k) and Y(1,0)
It is given that the distance XY is 5 units.
By using the distance formula,
$XY space equals space square root of left parenthesis 4 minus 1 right parenthesis squared space plus left parenthesis straight k minus 0 right parenthesis squared end root rightwards double arrow space 5 space equals space square root of 9 plus left parenthesis straight k right parenthesis squared end root rightwards double arrow space 25 space equals space 9 space plus straight k squared rightwards double arrow 16 space equals space straight k squared rightwards double arrow plus-or-minus space 4 space equals space straight k$

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Find the roots of the quadratic equation $square root of 2 straight x squared space plus 7 straight x space plus 5 square root of 2 space equals space 0$

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Find how many integers between 200 and 500 are divisible by 8.

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Prove that tangents drawn at the ends of a diameter of a circle are parallel to each other.

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Find the value of k for which the equation x² + k(2x + k − 1) + 2 = 0 has real and equal roots.

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Draw a line segment of length 8 cm and divide it internally in the ratio 4: 5.
Steps of construction.

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In the given figure, PA and PB are tangents to the circle from an external point P. CD is another tangent touching the circle at Q. If PA = 12 cm, QC = QD = 3 cm, then find PC + PD.

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10.

A number is chosen at random from the number –3, –2, –1, 0, 1, 2, 3. What will be the probability that square of this number is less then or equal to 1?

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