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Coordinate Geometry

Short Answer Type

361. Find the number of terms in the

straight A. space straight P. space colon space minus 1 comma space fraction numerator negative 5 over denominator 6 end fraction comma space fraction numerator negative 2 over denominator 3 end fraction comma space fraction numerator negative 1 over denominator 2 end fraction comma space..... comma space 10 over 3.

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362.
Two A .P’s have the same common difference. The first term of these is 3 and that of the order is 8. What is the difference between their

(i) 2nd terms (ii) 4th terms (iii) 10th terms (iv) 30th terms.

Solution not provided.
Ans. 5, 5, 5, 5

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363. The fourth term of an A .P. is equal to 3 times the first term and the 7th term exceeds twice the third term by 1. Find the 1st term of A .P.

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364. If eight times the 8th term of an A .P. is equal to 12 times the 12th term of the A .P., then find the 20th term.

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365.

Find :

(i) The 10th term of –40, –15, 10, 35,.........

(ii) The 9th term of $3 over 4 comma space 5 over 4 comma space 7 over 4 comma space 9 over 4 space.......$

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366. If (n + 1), 3n and (4n + 2) are in A .P., find the value of ‘n’.

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367. The 51 st, 11 th and last terms of an A .P. arc 0, 8 and

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respectively. Find the common difference and the number of terms.

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368.

Let P and Q be the points of trisection of the line segment joining the points A(2, -2) and B(-7, 4) such that P is nearer to A. Find the coordinates of P and Q.

8136 Views

369.

Prove that the points (3, 0), (6, 4) and (-1, 3) are the vertices of a right-angled isosceles triangle.

6944 Views

370.

If the point P(x, y) is equidistant from the points A(a + b, b – a) and B(a – b,a + b). Prove that bx = ay.

4390 Views

Previous Year Papers

Test Series

Test Yourself

Short Answer Type

362. Two A .P’s have the same common difference. The first term of these is 3 and that of the order is 8. What is the difference between their (i) 2nd terms (ii) 4th terms (iii) 10th terms (iv) 30th terms.

362.
Two A .P’s have the same common difference. The first term of these is 3 and that of the order is 8. What is the difference between their

(i) 2nd terms (ii) 4th terms (iii) 10th terms (iv) 30th terms.