English Medium इयत्ता १० - CBSE Question Bank Solutions

For some integer m, every even integer is of the form ______.

For some integer q, every odd integer is of the form ______.

n² – 1 is divisible by 8, if n is ______.

If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is ______.

The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is ______.

Explain why 3 × 5 × 7 + 7 is a composite number.

If the graph of a polynomial intersects the x-axis at only one point, it cannot be a quadratic polynomial.

If the graph of a polynomial intersects the x-axis at exactly two points, it need not be a quadratic polynomial.

The distance between the points A(0, 6) and B(0, –2) is ______.

The distance of the point P(–6, 8) from the origin is ______.

The points (– 4, 0), (4, 0), (0, 3) are the vertices of a ______.

∆ABC with vertices A(–2, 0), B(2, 0) and C(0, 2) is similar to ∆DEF with vertices D(–4, 0), E(4, 0) and F(0, 4).

Point P(0, 2) is the point of intersection of y-axis and perpendicular bisector of line segment joining the points A(–1, 1) and B(3, 3).

Points A(4, 3), B(6, 4), C(5, –6) and D(–3, 5) are the vertices of a parallelogram.

A circle has its centre at the origin and a point P(5, 0) lies on it. The point Q(6, 8) lies outside the circle.

The point A(2, 7) lies on the perpendicular bisector of line segment joining the points P(6, 5) and Q(0, – 4).

Name the type of triangle formed by the points A(–5, 6), B(–4, –2) and C(7, 5).

Find the points on the x-axis which are at a distance of `2sqrt(5)` from the point (7, – 4). How many such points are there?

What type of a quadrilateral do the points A(2, –2), B(7, 3), C(11, –1) and D(6, –6) taken in that order, form?

Find the value of a, if the distance between the points A(–3, –14) and B(a, –5) is 9 units.