Home
Class 12
MATHS
A boy is walking along the path y=ax^(2...

A boy is walking along the path `y=ax^(2)+bx+c` through the points (-6,8),(-2,-12), and (3,8). He wants to meet his friend at P(7,60). Will he meet his friend? (Use Gaussian elimination method.)

Text Solution

Verified by Experts

The correct Answer is:
`x=7, y = 49+21-10 = 60`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 1.6|6 Videos

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 1.7|4 Videos

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 1.4|8 Videos

  • APPLICATIONS OF INTEGRATION

    PREMIERS PUBLISHERS|Exercise Answer the following questions.|18 Videos

  • APPLICATIONS OF VECTOR ALGEBRA

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Answer the following questions)|21 Videos

Similar Questions

Explore conceptually related problems

In the curve y=x^(3)+ax and y=bx^(2)+c pass through the point (-1,0) and have a common tangent line at this point then the value of a+b+c is

If ax^(2) +bx+c is divided by x+3,x-5, and x-1, the remainders are 21, 61 and 9 respectively. Find a,b, and c. (Use Gaussian elimination method. )

If the curve y=ax^(1//2)+bx passes through the point (1,2) and lies above the x-axis for 0lexle9 and the area enclosed by the curve, the x-axis, and the line x=4 is 8 sq. units. Then

If the points A(6, 1), B(8, 2), C(9, 4) and D(P, 3) are the vertices of a parallelogram, taken in order. Find the value of P.

In a T20 match, Chennai Super Kings needed just 6 runs to win with 1 ball left to go in the last over. The last ball was bowled and the batsman at the crease hit it high up. The ball traversed along a path in a vertical plane and the equation of the path is y=ax^(2)+bx+c with respect to a xy-coordinate system in the vertical plane and the ball traversed through the points (10,8),(20,16), (30,18) can you conclude that Chennai Super Kings won the match? Justify your answer. (All distances are measured in metres and the meeting point of the plane of the path with the farthest boundary line is (70,0).

A helicopter flying along the path y=7+x^((3)/(2)) , A soldier standint at point ((1)/(2),7) wants to hit the helicopter when it is closest from him, then minimum distance is equal to (a) (1)/(6)(sqrt2)/(3) (b) (1)/(2) (c) (1)/(3)sqrt((2)/(3)) (d) sqrt((5)/(2))

If a circle passes through the points where the lines 3kx- 2y-1 = 0 and 4x-3y + 2 = 0 meet the coordinate axes then k=

In a T20 match, Chennai Super Kings needed just 6 runs to win with 1 ball left to go in the last over. The last ball was bowled and the batsman at the crease hit it high up. The ball traversed along a path in a vertical plane and the equation of the path is y=ax^(2)+bx+c with respect to a xy -coordinate system in the vertical plane and the ball traversed through the points (10,8),(20,16),(40,22), can you conclude that Chennai Super Kings won the match? Justify your answer. (All distances are measured in metres and the meeting point of the plane of the path with the farthest boundary line is (70,0).)

An ellipse is sliding along the coordinate axes. If the foci of the ellipse are (1, 1) and (3, 3), then the area of the director circle of the ellipse (in square units) is (a) 2pi (b) 4pi (c) 6pi (d) 8pi